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Finding the Third Proportional to 394,648 and 855,824

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Solution

The third proportional to 394,648 and 855,824 is: 1,855,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,648 : 855,824 = 855,824 : x
  2. Step 2: Convert to fraction form
    394,648/855,824 = 855,824/x
  3. Step 3: Cross multiply
    394,648x = 855,824 × 855,824
  4. Step 4: Simplify right side
    394,648x = 732,434,718,976
  5. Step 5: Solve for x
    x = 732,434,718,976/394,648
  6. Step 6: Final answer
    x = 1,855,918.99

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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.