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Finding the Third Proportional to 682,743 and 1,409,589

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Solution

The third proportional to 682,743 and 1,409,589 is: 2,910,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,743 : 1,409,589 = 1,409,589 : x
  2. Step 2: Convert to fraction form
    682,743/1,409,589 = 1,409,589/x
  3. Step 3: Cross multiply
    682,743x = 1,409,589 × 1,409,589
  4. Step 4: Simplify right side
    682,743x = 1,986,941,148,921
  5. Step 5: Solve for x
    x = 1,986,941,148,921/682,743
  6. Step 6: Final answer
    x = 2,910,232.91

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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.