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Finding the Third Proportional to 1,682,638 and 3,649,180

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Solution

The third proportional to 1,682,638 and 3,649,180 is: 7,914,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,638 : 3,649,180 = 3,649,180 : x
  2. Step 2: Convert to fraction form
    1,682,638/3,649,180 = 3,649,180/x
  3. Step 3: Cross multiply
    1,682,638x = 3,649,180 × 3,649,180
  4. Step 4: Simplify right side
    1,682,638x = 13,316,514,672,400
  5. Step 5: Solve for x
    x = 13,316,514,672,400/1,682,638
  6. Step 6: Final answer
    x = 7,914,069.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.