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Finding the Third Proportional to 886,466 and 1,825,204

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Solution

The third proportional to 886,466 and 1,825,204 is: 3,758,034.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,466 : 1,825,204 = 1,825,204 : x
  2. Step 2: Convert to fraction form
    886,466/1,825,204 = 1,825,204/x
  3. Step 3: Cross multiply
    886,466x = 1,825,204 × 1,825,204
  4. Step 4: Simplify right side
    886,466x = 3,331,369,641,616
  5. Step 5: Solve for x
    x = 3,331,369,641,616/886,466
  6. Step 6: Final answer
    x = 3,758,034.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.