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Finding the Third Proportional to 451,845 and 941,112

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Solution

The third proportional to 451,845 and 941,112 is: 1,960,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,845 : 941,112 = 941,112 : x
  2. Step 2: Convert to fraction form
    451,845/941,112 = 941,112/x
  3. Step 3: Cross multiply
    451,845x = 941,112 × 941,112
  4. Step 4: Simplify right side
    451,845x = 885,691,796,544
  5. Step 5: Solve for x
    x = 885,691,796,544/451,845
  6. Step 6: Final answer
    x = 1,960,167.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.