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Finding the Third Proportional to 613,818 and 930,204

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Solution

The third proportional to 613,818 and 930,204 is: 1,409,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,818 : 930,204 = 930,204 : x
  2. Step 2: Convert to fraction form
    613,818/930,204 = 930,204/x
  3. Step 3: Cross multiply
    613,818x = 930,204 × 930,204
  4. Step 4: Simplify right side
    613,818x = 865,279,481,616
  5. Step 5: Solve for x
    x = 865,279,481,616/613,818
  6. Step 6: Final answer
    x = 1,409,667.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.