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Finding the Third Proportional to 422,617 and 996,626

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Solution

The third proportional to 422,617 and 996,626 is: 2,350,268.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,617 : 996,626 = 996,626 : x
  2. Step 2: Convert to fraction form
    422,617/996,626 = 996,626/x
  3. Step 3: Cross multiply
    422,617x = 996,626 × 996,626
  4. Step 4: Simplify right side
    422,617x = 993,263,383,876
  5. Step 5: Solve for x
    x = 993,263,383,876/422,617
  6. Step 6: Final answer
    x = 2,350,268.41

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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.