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Finding the Third Proportional to 727,524 and 1,587,204

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Solution

The third proportional to 727,524 and 1,587,204 is: 3,462,726.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,524 : 1,587,204 = 1,587,204 : x
  2. Step 2: Convert to fraction form
    727,524/1,587,204 = 1,587,204/x
  3. Step 3: Cross multiply
    727,524x = 1,587,204 × 1,587,204
  4. Step 4: Simplify right side
    727,524x = 2,519,216,537,616
  5. Step 5: Solve for x
    x = 2,519,216,537,616/727,524
  6. Step 6: Final answer
    x = 3,462,726.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.