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Finding the Third Proportional to 902,016 and 1,940,112

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Solution

The third proportional to 902,016 and 1,940,112 is: 4,172,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,016 : 1,940,112 = 1,940,112 : x
  2. Step 2: Convert to fraction form
    902,016/1,940,112 = 1,940,112/x
  3. Step 3: Cross multiply
    902,016x = 1,940,112 × 1,940,112
  4. Step 4: Simplify right side
    902,016x = 3,764,034,572,544
  5. Step 5: Solve for x
    x = 3,764,034,572,544/902,016
  6. Step 6: Final answer
    x = 4,172,913.31

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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.