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Finding the Third Proportional to 1,058,729 and 1,641,691

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Solution

The third proportional to 1,058,729 and 1,641,691 is: 2,545,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,729 : 1,641,691 = 1,641,691 : x
  2. Step 2: Convert to fraction form
    1,058,729/1,641,691 = 1,641,691/x
  3. Step 3: Cross multiply
    1,058,729x = 1,641,691 × 1,641,691
  4. Step 4: Simplify right side
    1,058,729x = 2,695,149,339,481
  5. Step 5: Solve for x
    x = 2,695,149,339,481/1,058,729
  6. Step 6: Final answer
    x = 2,545,646.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.