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Finding the Third Proportional to 619,192 and 1,264,624

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Solution

The third proportional to 619,192 and 1,264,624 is: 2,582,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,192 : 1,264,624 = 1,264,624 : x
  2. Step 2: Convert to fraction form
    619,192/1,264,624 = 1,264,624/x
  3. Step 3: Cross multiply
    619,192x = 1,264,624 × 1,264,624
  4. Step 4: Simplify right side
    619,192x = 1,599,273,861,376
  5. Step 5: Solve for x
    x = 1,599,273,861,376/619,192
  6. Step 6: Final answer
    x = 2,582,839.99

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