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Finding the Third Proportional to 2,398,789 and 5,662,725

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Solution

The third proportional to 2,398,789 and 5,662,725 is: 13,367,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,789 : 5,662,725 = 5,662,725 : x
  2. Step 2: Convert to fraction form
    2,398,789/5,662,725 = 5,662,725/x
  3. Step 3: Cross multiply
    2,398,789x = 5,662,725 × 5,662,725
  4. Step 4: Simplify right side
    2,398,789x = 32,066,454,425,625
  5. Step 5: Solve for x
    x = 32,066,454,425,625/2,398,789
  6. Step 6: Final answer
    x = 13,367,767.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.