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Finding the Third Proportional to 422,611 and 996,622

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Solution

The third proportional to 422,611 and 996,622 is: 2,350,282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,611 : 996,622 = 996,622 : x
  2. Step 2: Convert to fraction form
    422,611/996,622 = 996,622/x
  3. Step 3: Cross multiply
    422,611x = 996,622 × 996,622
  4. Step 4: Simplify right side
    422,611x = 993,255,410,884
  5. Step 5: Solve for x
    x = 993,255,410,884/422,611
  6. Step 6: Final answer
    x = 2,350,282.91

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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.