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Finding the Third Proportional to 2,096,331 and 4,467,198

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Solution

The third proportional to 2,096,331 and 4,467,198 is: 9,519,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,331 : 4,467,198 = 4,467,198 : x
  2. Step 2: Convert to fraction form
    2,096,331/4,467,198 = 4,467,198/x
  3. Step 3: Cross multiply
    2,096,331x = 4,467,198 × 4,467,198
  4. Step 4: Simplify right side
    2,096,331x = 19,955,857,971,204
  5. Step 5: Solve for x
    x = 19,955,857,971,204/2,096,331
  6. Step 6: Final answer
    x = 9,519,421.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.