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Finding the Third Proportional to 2,857,864 and 6,108,744

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Solution

The third proportional to 2,857,864 and 6,108,744 is: 13,057,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,864 : 6,108,744 = 6,108,744 : x
  2. Step 2: Convert to fraction form
    2,857,864/6,108,744 = 6,108,744/x
  3. Step 3: Cross multiply
    2,857,864x = 6,108,744 × 6,108,744
  4. Step 4: Simplify right side
    2,857,864x = 37,316,753,257,536
  5. Step 5: Solve for x
    x = 37,316,753,257,536/2,857,864
  6. Step 6: Final answer
    x = 13,057,567.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.