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Finding the Third Proportional to 596,348 and 1,192,204

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Solution

The third proportional to 596,348 and 1,192,204 is: 2,383,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,348 : 1,192,204 = 1,192,204 : x
  2. Step 2: Convert to fraction form
    596,348/1,192,204 = 1,192,204/x
  3. Step 3: Cross multiply
    596,348x = 1,192,204 × 1,192,204
  4. Step 4: Simplify right side
    596,348x = 1,421,350,377,616
  5. Step 5: Solve for x
    x = 1,421,350,377,616/596,348
  6. Step 6: Final answer
    x = 2,383,424.41

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.