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Finding the Third Proportional to 2,734,100 and 5,982,874

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Solution

The third proportional to 2,734,100 and 5,982,874 is: 13,091,979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,100 : 5,982,874 = 5,982,874 : x
  2. Step 2: Convert to fraction form
    2,734,100/5,982,874 = 5,982,874/x
  3. Step 3: Cross multiply
    2,734,100x = 5,982,874 × 5,982,874
  4. Step 4: Simplify right side
    2,734,100x = 35,794,781,299,876
  5. Step 5: Solve for x
    x = 35,794,781,299,876/2,734,100
  6. Step 6: Final answer
    x = 13,091,979.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.