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Finding the Third Proportional to 422,742 and 996,917

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Solution

The third proportional to 422,742 and 996,917 is: 2,350,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,742 : 996,917 = 996,917 : x
  2. Step 2: Convert to fraction form
    422,742/996,917 = 996,917/x
  3. Step 3: Cross multiply
    422,742x = 996,917 × 996,917
  4. Step 4: Simplify right side
    422,742x = 993,843,504,889
  5. Step 5: Solve for x
    x = 993,843,504,889/422,742
  6. Step 6: Final answer
    x = 2,350,945.74

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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.