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Finding the Third Proportional to 422,954 and 998,085

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Solution

The third proportional to 422,954 and 998,085 is: 2,355,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,954 : 998,085 = 998,085 : x
  2. Step 2: Convert to fraction form
    422,954/998,085 = 998,085/x
  3. Step 3: Cross multiply
    422,954x = 998,085 × 998,085
  4. Step 4: Simplify right side
    422,954x = 996,173,667,225
  5. Step 5: Solve for x
    x = 996,173,667,225/422,954
  6. Step 6: Final answer
    x = 2,355,276.62

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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.