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Finding the Third Proportional to 664,777 and 996,882

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Solution

The third proportional to 664,777 and 996,882 is: 1,494,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,777 : 996,882 = 996,882 : x
  2. Step 2: Convert to fraction form
    664,777/996,882 = 996,882/x
  3. Step 3: Cross multiply
    664,777x = 996,882 × 996,882
  4. Step 4: Simplify right side
    664,777x = 993,773,721,924
  5. Step 5: Solve for x
    x = 993,773,721,924/664,777
  6. Step 6: Final answer
    x = 1,494,897.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.