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Finding the Third Proportional to 598,493 and 1,279,930

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Solution

The third proportional to 598,493 and 1,279,930 is: 2,737,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,493 : 1,279,930 = 1,279,930 : x
  2. Step 2: Convert to fraction form
    598,493/1,279,930 = 1,279,930/x
  3. Step 3: Cross multiply
    598,493x = 1,279,930 × 1,279,930
  4. Step 4: Simplify right side
    598,493x = 1,638,220,804,900
  5. Step 5: Solve for x
    x = 1,638,220,804,900/598,493
  6. Step 6: Final answer
    x = 2,737,243.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.