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Finding the Third Proportional to 681,684 and 1,036,689

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Solution

The third proportional to 681,684 and 1,036,689 is: 1,576,572.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,684 : 1,036,689 = 1,036,689 : x
  2. Step 2: Convert to fraction form
    681,684/1,036,689 = 1,036,689/x
  3. Step 3: Cross multiply
    681,684x = 1,036,689 × 1,036,689
  4. Step 4: Simplify right side
    681,684x = 1,074,724,082,721
  5. Step 5: Solve for x
    x = 1,074,724,082,721/681,684
  6. Step 6: Final answer
    x = 1,576,572.26

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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.