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Finding the Third Proportional to 561,042 and 789,147

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Solution

The third proportional to 561,042 and 789,147 is: 1,109,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,042 : 789,147 = 789,147 : x
  2. Step 2: Convert to fraction form
    561,042/789,147 = 789,147/x
  3. Step 3: Cross multiply
    561,042x = 789,147 × 789,147
  4. Step 4: Simplify right side
    561,042x = 622,752,987,609
  5. Step 5: Solve for x
    x = 622,752,987,609/561,042
  6. Step 6: Final answer
    x = 1,109,993.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.