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Finding the Third Proportional to 681,686 and 1,036,694

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Solution

The third proportional to 681,686 and 1,036,694 is: 1,576,582.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,686 : 1,036,694 = 1,036,694 : x
  2. Step 2: Convert to fraction form
    681,686/1,036,694 = 1,036,694/x
  3. Step 3: Cross multiply
    681,686x = 1,036,694 × 1,036,694
  4. Step 4: Simplify right side
    681,686x = 1,074,734,449,636
  5. Step 5: Solve for x
    x = 1,074,734,449,636/681,686
  6. Step 6: Final answer
    x = 1,576,582.84

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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.