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Finding the Third Proportional to 383,861 and 826,042

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Solution

The third proportional to 383,861 and 826,042 is: 1,777,584.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,861 : 826,042 = 826,042 : x
  2. Step 2: Convert to fraction form
    383,861/826,042 = 826,042/x
  3. Step 3: Cross multiply
    383,861x = 826,042 × 826,042
  4. Step 4: Simplify right side
    383,861x = 682,345,385,764
  5. Step 5: Solve for x
    x = 682,345,385,764/383,861
  6. Step 6: Final answer
    x = 1,777,584.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.