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Finding the Third Proportional to 394,082 and 854,020

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Solution

The third proportional to 394,082 and 854,020 is: 1,850,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,082 : 854,020 = 854,020 : x
  2. Step 2: Convert to fraction form
    394,082/854,020 = 854,020/x
  3. Step 3: Cross multiply
    394,082x = 854,020 × 854,020
  4. Step 4: Simplify right side
    394,082x = 729,350,160,400
  5. Step 5: Solve for x
    x = 729,350,160,400/394,082
  6. Step 6: Final answer
    x = 1,850,757.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.