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Finding the Third Proportional to 424,512 and 892,782

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Solution

The third proportional to 424,512 and 892,782 is: 1,877,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,512 : 892,782 = 892,782 : x
  2. Step 2: Convert to fraction form
    424,512/892,782 = 892,782/x
  3. Step 3: Cross multiply
    424,512x = 892,782 × 892,782
  4. Step 4: Simplify right side
    424,512x = 797,059,699,524
  5. Step 5: Solve for x
    x = 797,059,699,524/424,512
  6. Step 6: Final answer
    x = 1,877,590.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.