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Finding the Third Proportional to 394,407 and 861,759

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Solution

The third proportional to 394,407 and 861,759 is: 1,882,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,407 : 861,759 = 861,759 : x
  2. Step 2: Convert to fraction form
    394,407/861,759 = 861,759/x
  3. Step 3: Cross multiply
    394,407x = 861,759 × 861,759
  4. Step 4: Simplify right side
    394,407x = 742,628,574,081
  5. Step 5: Solve for x
    x = 742,628,574,081/394,407
  6. Step 6: Final answer
    x = 1,882,899.07

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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.