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Finding the Third Proportional to 2,982,792 and 4,474,512

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Solution

The third proportional to 2,982,792 and 4,474,512 is: 6,712,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982,792 : 4,474,512 = 4,474,512 : x
  2. Step 2: Convert to fraction form
    2,982,792/4,474,512 = 4,474,512/x
  3. Step 3: Cross multiply
    2,982,792x = 4,474,512 × 4,474,512
  4. Step 4: Simplify right side
    2,982,792x = 20,021,257,638,144
  5. Step 5: Solve for x
    x = 20,021,257,638,144/2,982,792
  6. Step 6: Final answer
    x = 6,712,254.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.