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Finding the Third Proportional to 394,910 and 848,898

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Solution

The third proportional to 394,910 and 848,898 is: 1,824,789.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,910 : 848,898 = 848,898 : x
  2. Step 2: Convert to fraction form
    394,910/848,898 = 848,898/x
  3. Step 3: Cross multiply
    394,910x = 848,898 × 848,898
  4. Step 4: Simplify right side
    394,910x = 720,627,814,404
  5. Step 5: Solve for x
    x = 720,627,814,404/394,910
  6. Step 6: Final answer
    x = 1,824,789.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.