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Finding the Third Proportional to 598,750 and 1,264,934

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Solution

The third proportional to 598,750 and 1,264,934 is: 2,672,330.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,750 : 1,264,934 = 1,264,934 : x
  2. Step 2: Convert to fraction form
    598,750/1,264,934 = 1,264,934/x
  3. Step 3: Cross multiply
    598,750x = 1,264,934 × 1,264,934
  4. Step 4: Simplify right side
    598,750x = 1,600,058,024,356
  5. Step 5: Solve for x
    x = 1,600,058,024,356/598,750
  6. Step 6: Final answer
    x = 2,672,330.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.