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Finding the Third Proportional to 2,158,920 and 4,737,744

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Solution

The third proportional to 2,158,920 and 4,737,744 is: 10,396,966.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158,920 : 4,737,744 = 4,737,744 : x
  2. Step 2: Convert to fraction form
    2,158,920/4,737,744 = 4,737,744/x
  3. Step 3: Cross multiply
    2,158,920x = 4,737,744 × 4,737,744
  4. Step 4: Simplify right side
    2,158,920x = 22,446,218,209,536
  5. Step 5: Solve for x
    x = 22,446,218,209,536/2,158,920
  6. Step 6: Final answer
    x = 10,396,966.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.