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Finding the Third Proportional to 445,853 and 993,819

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Solution

The third proportional to 445,853 and 993,819 is: 2,215,250.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,853 : 993,819 = 993,819 : x
  2. Step 2: Convert to fraction form
    445,853/993,819 = 993,819/x
  3. Step 3: Cross multiply
    445,853x = 993,819 × 993,819
  4. Step 4: Simplify right side
    445,853x = 987,676,204,761
  5. Step 5: Solve for x
    x = 987,676,204,761/445,853
  6. Step 6: Final answer
    x = 2,215,250.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.