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Finding the Third Proportional to 902,561 and 1,982,245

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Solution

The third proportional to 902,561 and 1,982,245 is: 4,353,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,561 : 1,982,245 = 1,982,245 : x
  2. Step 2: Convert to fraction form
    902,561/1,982,245 = 1,982,245/x
  3. Step 3: Cross multiply
    902,561x = 1,982,245 × 1,982,245
  4. Step 4: Simplify right side
    902,561x = 3,929,295,240,025
  5. Step 5: Solve for x
    x = 3,929,295,240,025/902,561
  6. Step 6: Final answer
    x = 4,353,495.49

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