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Finding the Third Proportional to 422,743 and 996,923

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Solution

The third proportional to 422,743 and 996,923 is: 2,350,968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,743 : 996,923 = 996,923 : x
  2. Step 2: Convert to fraction form
    422,743/996,923 = 996,923/x
  3. Step 3: Cross multiply
    422,743x = 996,923 × 996,923
  4. Step 4: Simplify right side
    422,743x = 993,855,467,929
  5. Step 5: Solve for x
    x = 993,855,467,929/422,743
  6. Step 6: Final answer
    x = 2,350,968.48

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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.