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Finding the Third Proportional to 2,077,952 and 2,815,872

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Solution

The third proportional to 2,077,952 and 2,815,872 is: 3,815,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077,952 : 2,815,872 = 2,815,872 : x
  2. Step 2: Convert to fraction form
    2,077,952/2,815,872 = 2,815,872/x
  3. Step 3: Cross multiply
    2,077,952x = 2,815,872 × 2,815,872
  4. Step 4: Simplify right side
    2,077,952x = 7,929,135,120,384
  5. Step 5: Solve for x
    x = 7,929,135,120,384/2,077,952
  6. Step 6: Final answer
    x = 3,815,841.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.