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Finding the Third Proportional to 561,781 and 794,901

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Solution

The third proportional to 561,781 and 794,901 is: 1,124,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,781 : 794,901 = 794,901 : x
  2. Step 2: Convert to fraction form
    561,781/794,901 = 794,901/x
  3. Step 3: Cross multiply
    561,781x = 794,901 × 794,901
  4. Step 4: Simplify right side
    561,781x = 631,867,599,801
  5. Step 5: Solve for x
    x = 631,867,599,801/561,781
  6. Step 6: Final answer
    x = 1,124,757.87

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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.