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Finding the Third Proportional to 598,082 and 1,306,244

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Solution

The third proportional to 598,082 and 1,306,244 is: 2,852,908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,082 : 1,306,244 = 1,306,244 : x
  2. Step 2: Convert to fraction form
    598,082/1,306,244 = 1,306,244/x
  3. Step 3: Cross multiply
    598,082x = 1,306,244 × 1,306,244
  4. Step 4: Simplify right side
    598,082x = 1,706,273,387,536
  5. Step 5: Solve for x
    x = 1,706,273,387,536/598,082
  6. Step 6: Final answer
    x = 2,852,908.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.