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Finding the Third Proportional to 1,279,204 and 2,815,976

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Solution

The third proportional to 1,279,204 and 2,815,976 is: 6,198,949.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,204 : 2,815,976 = 2,815,976 : x
  2. Step 2: Convert to fraction form
    1,279,204/2,815,976 = 2,815,976/x
  3. Step 3: Cross multiply
    1,279,204x = 2,815,976 × 2,815,976
  4. Step 4: Simplify right side
    1,279,204x = 7,929,720,832,576
  5. Step 5: Solve for x
    x = 7,929,720,832,576/1,279,204
  6. Step 6: Final answer
    x = 6,198,949.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.