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Finding the Third Proportional to 724,711.50 and 1,542,978

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Solution

The third proportional to 724,711.50 and 1,542,978 is: 3,285,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,711.50 : 1,542,978 = 1,542,978 : x
  2. Step 2: Convert to fraction form
    724,711.50/1,542,978 = 1,542,978/x
  3. Step 3: Cross multiply
    724,711.50x = 1,542,978 × 1,542,978
  4. Step 4: Simplify right side
    724,711.50x = 2,380,781,108,484
  5. Step 5: Solve for x
    x = 2,380,781,108,484/724,711.50
  6. Step 6: Final answer
    x = 3,285,143.27

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.