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Finding the Third Proportional to 687,170 and 1,479,694

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Solution

The third proportional to 687,170 and 1,479,694 is: 3,186,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,170 : 1,479,694 = 1,479,694 : x
  2. Step 2: Convert to fraction form
    687,170/1,479,694 = 1,479,694/x
  3. Step 3: Cross multiply
    687,170x = 1,479,694 × 1,479,694
  4. Step 4: Simplify right side
    687,170x = 2,189,494,333,636
  5. Step 5: Solve for x
    x = 2,189,494,333,636/687,170
  6. Step 6: Final answer
    x = 3,186,248.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.