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Finding the Third Proportional to 452,382.75 and 974,265.75

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Solution

The third proportional to 452,382.75 and 974,265.75 is: 2,098,209.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,382.75 : 974,265.75 = 974,265.75 : x
  2. Step 2: Convert to fraction form
    452,382.75/974,265.75 = 974,265.75/x
  3. Step 3: Cross multiply
    452,382.75x = 974,265.75 × 974,265.75
  4. Step 4: Simplify right side
    452,382.75x = 949,193,751,623.06
  5. Step 5: Solve for x
    x = 949,193,751,623.06/452,382.75
  6. Step 6: Final answer
    x = 2,098,209.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.