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Finding the Third Proportional to 609,147 and 892,941

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Solution

The third proportional to 609,147 and 892,941 is: 1,308,951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,147 : 892,941 = 892,941 : x
  2. Step 2: Convert to fraction form
    609,147/892,941 = 892,941/x
  3. Step 3: Cross multiply
    609,147x = 892,941 × 892,941
  4. Step 4: Simplify right side
    609,147x = 797,343,629,481
  5. Step 5: Solve for x
    x = 797,343,629,481/609,147
  6. Step 6: Final answer
    x = 1,308,951.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.