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Finding the Third Proportional to 757,920.38 and 1,205,344.13

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Solution

The third proportional to 757,920.38 and 1,205,344.13 is: 1,916,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,920.38 : 1,205,344.13 = 1,205,344.13 : x
  2. Step 2: Convert to fraction form
    757,920.38/1,205,344.13 = 1,205,344.13/x
  3. Step 3: Cross multiply
    757,920.38x = 1,205,344.13 × 1,205,344.13
  4. Step 4: Simplify right side
    757,920.38x = 1,452,854,459,672.02
  5. Step 5: Solve for x
    x = 1,452,854,459,672.02/757,920.38
  6. Step 6: Final answer
    x = 1,916,895.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.