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Finding the Third Proportional to 422,577 and 996,543

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Solution

The third proportional to 422,577 and 996,543 is: 2,350,099.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,577 : 996,543 = 996,543 : x
  2. Step 2: Convert to fraction form
    422,577/996,543 = 996,543/x
  3. Step 3: Cross multiply
    422,577x = 996,543 × 996,543
  4. Step 4: Simplify right side
    422,577x = 993,097,950,849
  5. Step 5: Solve for x
    x = 993,097,950,849/422,577
  6. Step 6: Final answer
    x = 2,350,099.39

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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.