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Finding the Third Proportional to 412,781 and 843,055

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Solution

The third proportional to 412,781 and 843,055 is: 1,721,837.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,781 : 843,055 = 843,055 : x
  2. Step 2: Convert to fraction form
    412,781/843,055 = 843,055/x
  3. Step 3: Cross multiply
    412,781x = 843,055 × 843,055
  4. Step 4: Simplify right side
    412,781x = 710,741,733,025
  5. Step 5: Solve for x
    x = 710,741,733,025/412,781
  6. Step 6: Final answer
    x = 1,721,837.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.