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Finding the Third Proportional to 2,190,542 and 4,704,920

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Solution

The third proportional to 2,190,542 and 4,704,920 is: 10,105,385.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190,542 : 4,704,920 = 4,704,920 : x
  2. Step 2: Convert to fraction form
    2,190,542/4,704,920 = 4,704,920/x
  3. Step 3: Cross multiply
    2,190,542x = 4,704,920 × 4,704,920
  4. Step 4: Simplify right side
    2,190,542x = 22,136,272,206,400
  5. Step 5: Solve for x
    x = 22,136,272,206,400/2,190,542
  6. Step 6: Final answer
    x = 10,105,385.88

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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.