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Finding the Third Proportional to 619,198 and 1,264,638

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Solution

The third proportional to 619,198 and 1,264,638 is: 2,582,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,198 : 1,264,638 = 1,264,638 : x
  2. Step 2: Convert to fraction form
    619,198/1,264,638 = 1,264,638/x
  3. Step 3: Cross multiply
    619,198x = 1,264,638 × 1,264,638
  4. Step 4: Simplify right side
    619,198x = 1,599,309,271,044
  5. Step 5: Solve for x
    x = 1,599,309,271,044/619,198
  6. Step 6: Final answer
    x = 2,582,872.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.