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Finding the Third Proportional to 724,707 and 1,542,969

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Solution

The third proportional to 724,707 and 1,542,969 is: 3,285,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,707 : 1,542,969 = 1,542,969 : x
  2. Step 2: Convert to fraction form
    724,707/1,542,969 = 1,542,969/x
  3. Step 3: Cross multiply
    724,707x = 1,542,969 × 1,542,969
  4. Step 4: Simplify right side
    724,707x = 2,380,753,334,961
  5. Step 5: Solve for x
    x = 2,380,753,334,961/724,707
  6. Step 6: Final answer
    x = 3,285,125.35

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Why These Related Problems?

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