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Finding the Third Proportional to 657,861.75 and 984,115.13

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Solution

The third proportional to 657,861.75 and 984,115.13 is: 1,472,167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,861.75 : 984,115.13 = 984,115.13 : x
  2. Step 2: Convert to fraction form
    657,861.75/984,115.13 = 984,115.13/x
  3. Step 3: Cross multiply
    657,861.75x = 984,115.13 × 984,115.13
  4. Step 4: Simplify right side
    657,861.75x = 968,482,579,253.77
  5. Step 5: Solve for x
    x = 968,482,579,253.77/657,861.75
  6. Step 6: Final answer
    x = 1,472,167.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.