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Finding the Third Proportional to 422,727 and 996,883

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Solution

The third proportional to 422,727 and 996,883 is: 2,350,868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,727 : 996,883 = 996,883 : x
  2. Step 2: Convert to fraction form
    422,727/996,883 = 996,883/x
  3. Step 3: Cross multiply
    422,727x = 996,883 × 996,883
  4. Step 4: Simplify right side
    422,727x = 993,775,715,689
  5. Step 5: Solve for x
    x = 993,775,715,689/422,727
  6. Step 6: Final answer
    x = 2,350,868.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.