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Finding the Third Proportional to 809,193 and 1,744,593

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Solution

The third proportional to 809,193 and 1,744,593 is: 3,761,284.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,193 : 1,744,593 = 1,744,593 : x
  2. Step 2: Convert to fraction form
    809,193/1,744,593 = 1,744,593/x
  3. Step 3: Cross multiply
    809,193x = 1,744,593 × 1,744,593
  4. Step 4: Simplify right side
    809,193x = 3,043,604,735,649
  5. Step 5: Solve for x
    x = 3,043,604,735,649/809,193
  6. Step 6: Final answer
    x = 3,761,284.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.