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Finding the Third Proportional to 800,163 and 1,744,119

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Solution

The third proportional to 800,163 and 1,744,119 is: 3,801,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,163 : 1,744,119 = 1,744,119 : x
  2. Step 2: Convert to fraction form
    800,163/1,744,119 = 1,744,119/x
  3. Step 3: Cross multiply
    800,163x = 1,744,119 × 1,744,119
  4. Step 4: Simplify right side
    800,163x = 3,041,951,086,161
  5. Step 5: Solve for x
    x = 3,041,951,086,161/800,163
  6. Step 6: Final answer
    x = 3,801,664.27

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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.