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Finding the Third Proportional to 2,206,672 and 4,761,691

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Solution

The third proportional to 2,206,672 and 4,761,691 is: 10,275,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,672 : 4,761,691 = 4,761,691 : x
  2. Step 2: Convert to fraction form
    2,206,672/4,761,691 = 4,761,691/x
  3. Step 3: Cross multiply
    2,206,672x = 4,761,691 × 4,761,691
  4. Step 4: Simplify right side
    2,206,672x = 22,673,701,179,481
  5. Step 5: Solve for x
    x = 22,673,701,179,481/2,206,672
  6. Step 6: Final answer
    x = 10,275,066.33

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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.