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Finding the Third Proportional to 389,218 and 839,204

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Solution

The third proportional to 389,218 and 839,204 is: 1,809,431.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,218 : 839,204 = 839,204 : x
  2. Step 2: Convert to fraction form
    389,218/839,204 = 839,204/x
  3. Step 3: Cross multiply
    389,218x = 839,204 × 839,204
  4. Step 4: Simplify right side
    389,218x = 704,263,353,616
  5. Step 5: Solve for x
    x = 704,263,353,616/389,218
  6. Step 6: Final answer
    x = 1,809,431.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.