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Finding the Third Proportional to 2,734,102 and 5,982,878

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Solution

The third proportional to 2,734,102 and 5,982,878 is: 13,091,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734,102 : 5,982,878 = 5,982,878 : x
  2. Step 2: Convert to fraction form
    2,734,102/5,982,878 = 5,982,878/x
  3. Step 3: Cross multiply
    2,734,102x = 5,982,878 × 5,982,878
  4. Step 4: Simplify right side
    2,734,102x = 35,794,829,162,884
  5. Step 5: Solve for x
    x = 35,794,829,162,884/2,734,102
  6. Step 6: Final answer
    x = 13,091,987.48

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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.