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Finding the Third Proportional to 577,732 and 892,822

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Solution

The third proportional to 577,732 and 892,822 is: 1,379,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,732 : 892,822 = 892,822 : x
  2. Step 2: Convert to fraction form
    577,732/892,822 = 892,822/x
  3. Step 3: Cross multiply
    577,732x = 892,822 × 892,822
  4. Step 4: Simplify right side
    577,732x = 797,131,123,684
  5. Step 5: Solve for x
    x = 797,131,123,684/577,732
  6. Step 6: Final answer
    x = 1,379,759.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.