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Finding the Third Proportional to 2,206,686 and 4,761,720

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Solution

The third proportional to 2,206,686 and 4,761,720 is: 10,275,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,686 : 4,761,720 = 4,761,720 : x
  2. Step 2: Convert to fraction form
    2,206,686/4,761,720 = 4,761,720/x
  3. Step 3: Cross multiply
    2,206,686x = 4,761,720 × 4,761,720
  4. Step 4: Simplify right side
    2,206,686x = 22,673,977,358,400
  5. Step 5: Solve for x
    x = 22,673,977,358,400/2,206,686
  6. Step 6: Final answer
    x = 10,275,126.30

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