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Finding the Third Proportional to 564,978 and 1,241,493

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Solution

The third proportional to 564,978 and 1,241,493 is: 2,728,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,978 : 1,241,493 = 1,241,493 : x
  2. Step 2: Convert to fraction form
    564,978/1,241,493 = 1,241,493/x
  3. Step 3: Cross multiply
    564,978x = 1,241,493 × 1,241,493
  4. Step 4: Simplify right side
    564,978x = 1,541,304,869,049
  5. Step 5: Solve for x
    x = 1,541,304,869,049/564,978
  6. Step 6: Final answer
    x = 2,728,079.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.