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Finding the Third Proportional to 394,912 and 848,902

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Solution

The third proportional to 394,912 and 848,902 is: 1,824,797.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,912 : 848,902 = 848,902 : x
  2. Step 2: Convert to fraction form
    394,912/848,902 = 848,902/x
  3. Step 3: Cross multiply
    394,912x = 848,902 × 848,902
  4. Step 4: Simplify right side
    394,912x = 720,634,605,604
  5. Step 5: Solve for x
    x = 720,634,605,604/394,912
  6. Step 6: Final answer
    x = 1,824,797.94

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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.