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Finding the Third Proportional to 510,311 and 1,098,625

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Solution

The third proportional to 510,311 and 1,098,625 is: 2,365,179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,311 : 1,098,625 = 1,098,625 : x
  2. Step 2: Convert to fraction form
    510,311/1,098,625 = 1,098,625/x
  3. Step 3: Cross multiply
    510,311x = 1,098,625 × 1,098,625
  4. Step 4: Simplify right side
    510,311x = 1,206,976,890,625
  5. Step 5: Solve for x
    x = 1,206,976,890,625/510,311
  6. Step 6: Final answer
    x = 2,365,179.06

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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.