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Finding the Third Proportional to 632,868 and 951,990

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Solution

The third proportional to 632,868 and 951,990 is: 1,432,028.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,868 : 951,990 = 951,990 : x
  2. Step 2: Convert to fraction form
    632,868/951,990 = 951,990/x
  3. Step 3: Cross multiply
    632,868x = 951,990 × 951,990
  4. Step 4: Simplify right side
    632,868x = 906,284,960,100
  5. Step 5: Solve for x
    x = 906,284,960,100/632,868
  6. Step 6: Final answer
    x = 1,432,028.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.