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Finding the Third Proportional to 683,589 and 1,472,361

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Solution

The third proportional to 683,589 and 1,472,361 is: 3,171,272.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,589 : 1,472,361 = 1,472,361 : x
  2. Step 2: Convert to fraction form
    683,589/1,472,361 = 1,472,361/x
  3. Step 3: Cross multiply
    683,589x = 1,472,361 × 1,472,361
  4. Step 4: Simplify right side
    683,589x = 2,167,846,914,321
  5. Step 5: Solve for x
    x = 2,167,846,914,321/683,589
  6. Step 6: Final answer
    x = 3,171,272.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.