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Finding the Third Proportional to 800,166 and 1,744,125

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Solution

The third proportional to 800,166 and 1,744,125 is: 3,801,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,166 : 1,744,125 = 1,744,125 : x
  2. Step 2: Convert to fraction form
    800,166/1,744,125 = 1,744,125/x
  3. Step 3: Cross multiply
    800,166x = 1,744,125 × 1,744,125
  4. Step 4: Simplify right side
    800,166x = 3,041,972,015,625
  5. Step 5: Solve for x
    x = 3,041,972,015,625/800,166
  6. Step 6: Final answer
    x = 3,801,676.17

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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.