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Finding the Third Proportional to 747,318.38 and 1,160,344.13

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Solution

The third proportional to 747,318.38 and 1,160,344.13 is: 1,801,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,318.38 : 1,160,344.13 = 1,160,344.13 : x
  2. Step 2: Convert to fraction form
    747,318.38/1,160,344.13 = 1,160,344.13/x
  3. Step 3: Cross multiply
    747,318.38x = 1,160,344.13 × 1,160,344.13
  4. Step 4: Simplify right side
    747,318.38x = 1,346,398,488,422.02
  5. Step 5: Solve for x
    x = 1,346,398,488,422.02/747,318.38
  6. Step 6: Final answer
    x = 1,801,639.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.