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Finding the Third Proportional to 701,673 and 1,058,825

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Solution

The third proportional to 701,673 and 1,058,825 is: 1,597,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,673 : 1,058,825 = 1,058,825 : x
  2. Step 2: Convert to fraction form
    701,673/1,058,825 = 1,058,825/x
  3. Step 3: Cross multiply
    701,673x = 1,058,825 × 1,058,825
  4. Step 4: Simplify right side
    701,673x = 1,121,110,380,625
  5. Step 5: Solve for x
    x = 1,121,110,380,625/701,673
  6. Step 6: Final answer
    x = 1,597,767.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.