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Finding the Third Proportional to 902,611 and 1,982,378

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Solution

The third proportional to 902,611 and 1,982,378 is: 4,353,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,611 : 1,982,378 = 1,982,378 : x
  2. Step 2: Convert to fraction form
    902,611/1,982,378 = 1,982,378/x
  3. Step 3: Cross multiply
    902,611x = 1,982,378 × 1,982,378
  4. Step 4: Simplify right side
    902,611x = 3,929,822,534,884
  5. Step 5: Solve for x
    x = 3,929,822,534,884/902,611
  6. Step 6: Final answer
    x = 4,353,838.51

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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.