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Finding the Third Proportional to 381,514 and 815,192

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Solution

The third proportional to 381,514 and 815,192 is: 1,741,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,514 : 815,192 = 815,192 : x
  2. Step 2: Convert to fraction form
    381,514/815,192 = 815,192/x
  3. Step 3: Cross multiply
    381,514x = 815,192 × 815,192
  4. Step 4: Simplify right side
    381,514x = 664,537,996,864
  5. Step 5: Solve for x
    x = 664,537,996,864/381,514
  6. Step 6: Final answer
    x = 1,741,844.33

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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.