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Finding the Third Proportional to 681,897 and 1,435,686

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Solution

The third proportional to 681,897 and 1,435,686 is: 3,022,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,897 : 1,435,686 = 1,435,686 : x
  2. Step 2: Convert to fraction form
    681,897/1,435,686 = 1,435,686/x
  3. Step 3: Cross multiply
    681,897x = 1,435,686 × 1,435,686
  4. Step 4: Simplify right side
    681,897x = 2,061,194,290,596
  5. Step 5: Solve for x
    x = 2,061,194,290,596/681,897
  6. Step 6: Final answer
    x = 3,022,735.53

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.