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Finding the Third Proportional to 1,206,976 and 2,512,150

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Solution

The third proportional to 1,206,976 and 2,512,150 is: 5,228,685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206,976 : 2,512,150 = 2,512,150 : x
  2. Step 2: Convert to fraction form
    1,206,976/2,512,150 = 2,512,150/x
  3. Step 3: Cross multiply
    1,206,976x = 2,512,150 × 2,512,150
  4. Step 4: Simplify right side
    1,206,976x = 6,310,897,622,500
  5. Step 5: Solve for x
    x = 6,310,897,622,500/1,206,976
  6. Step 6: Final answer
    x = 5,228,685.26

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.