**Solution:**

We are given that the HCF (Highest Common Factor) of two numbers is 131 and the LCM (Least Common Multiple) is 8253. We are also given that one of the numbers is 917.

To find the other number, we can use the relationship between HCF, LCM, and the two numbers.

**Relationship between HCF, LCM, and two numbers:**

If two numbers are a and b, and their HCF is h and LCM is l, then we have the following relationship:

l = (a * b) / h

Using this relationship, we can find the other number.

**Given Information:**
- HCF = 131
- LCM = 8253
- One number = 917

Let's substitute the given values into the equation:

8253 = (917 * b) / 131

To find the value of b, we can cross multiply:

8253 * 131 = 917 * b

b = (8253 * 131) / 917

b = 1189

Therefore, the other number is 1189.

**Explanation:**

To understand how we arrived at the solution, let's revisit the relationship between HCF, LCM, and the two numbers.

The HCF of two numbers is the largest number that divides both numbers exactly. In this case, the HCF is 131.

The LCM of two numbers is the smallest number that is divisible by both numbers. In this case, the LCM is 8253.

The relationship between HCF, LCM, and the two numbers is given by the equation:

LCM = (a * b) / HCF

To find the other number, we substitute the given values into this equation.

We are given that one of the numbers is 917, so we substitute a = 917.

We are also given the HCF and LCM, so we substitute HCF = 131 and LCM = 8253.

Now we have the equation:

8253 = (917 * b) / 131

To find the value of b, we cross multiply:

8253 * 131 = 917 * b

b = (8253 * 131) / 917

After evaluating the expression, we find that b = 1189.

Therefore, the other number is 1189.

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