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Finding the Third Proportional to 682,636 and 1,466,360

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Solution

The third proportional to 682,636 and 1,466,360 is: 3,149,865.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,636 : 1,466,360 = 1,466,360 : x
  2. Step 2: Convert to fraction form
    682,636/1,466,360 = 1,466,360/x
  3. Step 3: Cross multiply
    682,636x = 1,466,360 × 1,466,360
  4. Step 4: Simplify right side
    682,636x = 2,150,211,649,600
  5. Step 5: Solve for x
    x = 2,150,211,649,600/682,636
  6. Step 6: Final answer
    x = 3,149,865.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.