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Finding the Third Proportional to 479,414 and 1,042,474

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Solution

The third proportional to 479,414 and 1,042,474 is: 2,266,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,414 : 1,042,474 = 1,042,474 : x
  2. Step 2: Convert to fraction form
    479,414/1,042,474 = 1,042,474/x
  3. Step 3: Cross multiply
    479,414x = 1,042,474 × 1,042,474
  4. Step 4: Simplify right side
    479,414x = 1,086,752,040,676
  5. Step 5: Solve for x
    x = 1,086,752,040,676/479,414
  6. Step 6: Final answer
    x = 2,266,834.18

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