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Finding the Third Proportional to 902,523.94 and 1,982,172.38

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Solution

The third proportional to 902,523.94 and 1,982,172.38 is: 4,353,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,523.94 : 1,982,172.38 = 1,982,172.38 : x
  2. Step 2: Convert to fraction form
    902,523.94/1,982,172.38 = 1,982,172.38/x
  3. Step 3: Cross multiply
    902,523.94x = 1,982,172.38 × 1,982,172.38
  4. Step 4: Simplify right side
    902,523.94x = 3,929,007,324,213.14
  5. Step 5: Solve for x
    x = 3,929,007,324,213.14/902,523.94
  6. Step 6: Final answer
    x = 4,353,355.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.