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Finding the Third Proportional to 800,622 and 1,741,212

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Solution

The third proportional to 800,622 and 1,741,212 is: 3,786,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,622 : 1,741,212 = 1,741,212 : x
  2. Step 2: Convert to fraction form
    800,622/1,741,212 = 1,741,212/x
  3. Step 3: Cross multiply
    800,622x = 1,741,212 × 1,741,212
  4. Step 4: Simplify right side
    800,622x = 3,031,819,228,944
  5. Step 5: Solve for x
    x = 3,031,819,228,944/800,622
  6. Step 6: Final answer
    x = 3,786,829.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.