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Finding the Third Proportional to 1,822,839 and 3,926,163

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Solution

The third proportional to 1,822,839 and 3,926,163 is: 8,456,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,839 : 3,926,163 = 3,926,163 : x
  2. Step 2: Convert to fraction form
    1,822,839/3,926,163 = 3,926,163/x
  3. Step 3: Cross multiply
    1,822,839x = 3,926,163 × 3,926,163
  4. Step 4: Simplify right side
    1,822,839x = 15,414,755,902,569
  5. Step 5: Solve for x
    x = 15,414,755,902,569/1,822,839
  6. Step 6: Final answer
    x = 8,456,454.96

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Why These Related Problems?

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