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Finding the Third Proportional to 3,489,917 and 5,238,569

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Solution

The third proportional to 3,489,917 and 5,238,569 is: 7,863,397.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,917 : 5,238,569 = 5,238,569 : x
  2. Step 2: Convert to fraction form
    3,489,917/5,238,569 = 5,238,569/x
  3. Step 3: Cross multiply
    3,489,917x = 5,238,569 × 5,238,569
  4. Step 4: Simplify right side
    3,489,917x = 27,442,605,167,761
  5. Step 5: Solve for x
    x = 27,442,605,167,761/3,489,917
  6. Step 6: Final answer
    x = 7,863,397.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.