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Finding the Third Proportional to 396,186 and 825,198

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Solution

The third proportional to 396,186 and 825,198 is: 1,718,767.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,186 : 825,198 = 825,198 : x
  2. Step 2: Convert to fraction form
    396,186/825,198 = 825,198/x
  3. Step 3: Cross multiply
    396,186x = 825,198 × 825,198
  4. Step 4: Simplify right side
    396,186x = 680,951,739,204
  5. Step 5: Solve for x
    x = 680,951,739,204/396,186
  6. Step 6: Final answer
    x = 1,718,767.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.