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Finding the Third Proportional to 387,936 and 848,016

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Solution

The third proportional to 387,936 and 848,016 is: 1,853,736.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,936 : 848,016 = 848,016 : x
  2. Step 2: Convert to fraction form
    387,936/848,016 = 848,016/x
  3. Step 3: Cross multiply
    387,936x = 848,016 × 848,016
  4. Step 4: Simplify right side
    387,936x = 719,131,136,256
  5. Step 5: Solve for x
    x = 719,131,136,256/387,936
  6. Step 6: Final answer
    x = 1,853,736.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.