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Finding the Third Proportional to 422,601 and 996,586

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Solution

The third proportional to 422,601 and 996,586 is: 2,350,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,601 : 996,586 = 996,586 : x
  2. Step 2: Convert to fraction form
    422,601/996,586 = 996,586/x
  3. Step 3: Cross multiply
    422,601x = 996,586 × 996,586
  4. Step 4: Simplify right side
    422,601x = 993,183,655,396
  5. Step 5: Solve for x
    x = 993,183,655,396/422,601
  6. Step 6: Final answer
    x = 2,350,168.73

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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.