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Finding the Third Proportional to 724,464 and 1,542,474

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Solution

The third proportional to 724,464 and 1,542,474 is: 3,284,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,464 : 1,542,474 = 1,542,474 : x
  2. Step 2: Convert to fraction form
    724,464/1,542,474 = 1,542,474/x
  3. Step 3: Cross multiply
    724,464x = 1,542,474 × 1,542,474
  4. Step 4: Simplify right side
    724,464x = 2,379,226,040,676
  5. Step 5: Solve for x
    x = 2,379,226,040,676/724,464
  6. Step 6: Final answer
    x = 3,284,119.07

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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.