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Finding the Third Proportional to 681,694 and 1,036,704

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Solution

The third proportional to 681,694 and 1,036,704 is: 1,576,594.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,694 : 1,036,704 = 1,036,704 : x
  2. Step 2: Convert to fraction form
    681,694/1,036,704 = 1,036,704/x
  3. Step 3: Cross multiply
    681,694x = 1,036,704 × 1,036,704
  4. Step 4: Simplify right side
    681,694x = 1,074,755,183,616
  5. Step 5: Solve for x
    x = 1,074,755,183,616/681,694
  6. Step 6: Final answer
    x = 1,576,594.75

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.