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Finding the Third Proportional to 683,598 and 1,472,375

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Solution

The third proportional to 683,598 and 1,472,375 is: 3,171,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,598 : 1,472,375 = 1,472,375 : x
  2. Step 2: Convert to fraction form
    683,598/1,472,375 = 1,472,375/x
  3. Step 3: Cross multiply
    683,598x = 1,472,375 × 1,472,375
  4. Step 4: Simplify right side
    683,598x = 2,167,888,140,625
  5. Step 5: Solve for x
    x = 2,167,888,140,625/683,598
  6. Step 6: Final answer
    x = 3,171,290.94

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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.