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Finding the Third Proportional to 387,984 and 848,112

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Solution

The third proportional to 387,984 and 848,112 is: 1,853,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,984 : 848,112 = 848,112 : x
  2. Step 2: Convert to fraction form
    387,984/848,112 = 848,112/x
  3. Step 3: Cross multiply
    387,984x = 848,112 × 848,112
  4. Step 4: Simplify right side
    387,984x = 719,293,964,544
  5. Step 5: Solve for x
    x = 719,293,964,544/387,984
  6. Step 6: Final answer
    x = 1,853,926.87

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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.