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Finding the Third Proportional to 682,590 and 1,489,404

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Solution

The third proportional to 682,590 and 1,489,404 is: 3,249,863.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,590 : 1,489,404 = 1,489,404 : x
  2. Step 2: Convert to fraction form
    682,590/1,489,404 = 1,489,404/x
  3. Step 3: Cross multiply
    682,590x = 1,489,404 × 1,489,404
  4. Step 4: Simplify right side
    682,590x = 2,218,324,275,216
  5. Step 5: Solve for x
    x = 2,218,324,275,216/682,590
  6. Step 6: Final answer
    x = 3,249,863.42

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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.