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Finding the Third Proportional to 1,468,384 and 2,067,839

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Solution

The third proportional to 1,468,384 and 2,067,839 is: 2,912,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,384 : 2,067,839 = 2,067,839 : x
  2. Step 2: Convert to fraction form
    1,468,384/2,067,839 = 2,067,839/x
  3. Step 3: Cross multiply
    1,468,384x = 2,067,839 × 2,067,839
  4. Step 4: Simplify right side
    1,468,384x = 4,275,958,129,921
  5. Step 5: Solve for x
    x = 4,275,958,129,921/1,468,384
  6. Step 6: Final answer
    x = 2,912,016.29

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.