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Finding the Third Proportional to 510,344 and 1,192,016

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Solution

The third proportional to 510,344 and 1,192,016 is: 2,784,204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,344 : 1,192,016 = 1,192,016 : x
  2. Step 2: Convert to fraction form
    510,344/1,192,016 = 1,192,016/x
  3. Step 3: Cross multiply
    510,344x = 1,192,016 × 1,192,016
  4. Step 4: Simplify right side
    510,344x = 1,420,902,144,256
  5. Step 5: Solve for x
    x = 1,420,902,144,256/510,344
  6. Step 6: Final answer
    x = 2,784,204.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.