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Finding the Third Proportional to 3,941,822 and 8,498,920

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Solution

The third proportional to 3,941,822 and 8,498,920 is: 18,324,429.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,941,822 : 8,498,920 = 8,498,920 : x
  2. Step 2: Convert to fraction form
    3,941,822/8,498,920 = 8,498,920/x
  3. Step 3: Cross multiply
    3,941,822x = 8,498,920 × 8,498,920
  4. Step 4: Simplify right side
    3,941,822x = 72,231,641,166,400
  5. Step 5: Solve for x
    x = 72,231,641,166,400/3,941,822
  6. Step 6: Final answer
    x = 18,324,429.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.