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Finding the Third Proportional to 422,622 and 996,650

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Solution

The third proportional to 422,622 and 996,650 is: 2,350,353.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,622 : 996,650 = 996,650 : x
  2. Step 2: Convert to fraction form
    422,622/996,650 = 996,650/x
  3. Step 3: Cross multiply
    422,622x = 996,650 × 996,650
  4. Step 4: Simplify right side
    422,622x = 993,311,222,500
  5. Step 5: Solve for x
    x = 993,311,222,500/422,622
  6. Step 6: Final answer
    x = 2,350,353.80

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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.