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Finding the Third Proportional to 844,739 and 1,838,193

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Solution

The third proportional to 844,739 and 1,838,193 is: 3,999,997.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,739 : 1,838,193 = 1,838,193 : x
  2. Step 2: Convert to fraction form
    844,739/1,838,193 = 1,838,193/x
  3. Step 3: Cross multiply
    844,739x = 1,838,193 × 1,838,193
  4. Step 4: Simplify right side
    844,739x = 3,378,953,505,249
  5. Step 5: Solve for x
    x = 3,378,953,505,249/844,739
  6. Step 6: Final answer
    x = 3,999,997.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.