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Finding the Third Proportional to 732,799.31 and 1,591,747.13

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Solution

The third proportional to 732,799.31 and 1,591,747.13 is: 3,457,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,799.31 : 1,591,747.13 = 1,591,747.13 : x
  2. Step 2: Convert to fraction form
    732,799.31/1,591,747.13 = 1,591,747.13/x
  3. Step 3: Cross multiply
    732,799.31x = 1,591,747.13 × 1,591,747.13
  4. Step 4: Simplify right side
    732,799.31x = 2,533,658,909,945.77
  5. Step 5: Solve for x
    x = 2,533,658,909,945.77/732,799.31
  6. Step 6: Final answer
    x = 3,457,507.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.