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Finding the Third Proportional to 510,182 and 1,108,940

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Solution

The third proportional to 510,182 and 1,108,940 is: 2,410,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,182 : 1,108,940 = 1,108,940 : x
  2. Step 2: Convert to fraction form
    510,182/1,108,940 = 1,108,940/x
  3. Step 3: Cross multiply
    510,182x = 1,108,940 × 1,108,940
  4. Step 4: Simplify right side
    510,182x = 1,229,747,923,600
  5. Step 5: Solve for x
    x = 1,229,747,923,600/510,182
  6. Step 6: Final answer
    x = 2,410,410.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.