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Finding the Third Proportional to 2,701,016 and 5,850,448

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Solution

The third proportional to 2,701,016 and 5,850,448 is: 12,672,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701,016 : 5,850,448 = 5,850,448 : x
  2. Step 2: Convert to fraction form
    2,701,016/5,850,448 = 5,850,448/x
  3. Step 3: Cross multiply
    2,701,016x = 5,850,448 × 5,850,448
  4. Step 4: Simplify right side
    2,701,016x = 34,227,741,800,704
  5. Step 5: Solve for x
    x = 34,227,741,800,704/2,701,016
  6. Step 6: Final answer
    x = 12,672,172.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.