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Finding the Third Proportional to 422,722 and 996,870

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Solution

The third proportional to 422,722 and 996,870 is: 2,350,835.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,722 : 996,870 = 996,870 : x
  2. Step 2: Convert to fraction form
    422,722/996,870 = 996,870/x
  3. Step 3: Cross multiply
    422,722x = 996,870 × 996,870
  4. Step 4: Simplify right side
    422,722x = 993,749,796,900
  5. Step 5: Solve for x
    x = 993,749,796,900/422,722
  6. Step 6: Final answer
    x = 2,350,835.29

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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.