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Finding the Third Proportional to 809,452 and 1,761,698

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Solution

The third proportional to 809,452 and 1,761,698 is: 3,834,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,452 : 1,761,698 = 1,761,698 : x
  2. Step 2: Convert to fraction form
    809,452/1,761,698 = 1,761,698/x
  3. Step 3: Cross multiply
    809,452x = 1,761,698 × 1,761,698
  4. Step 4: Simplify right side
    809,452x = 3,103,579,843,204
  5. Step 5: Solve for x
    x = 3,103,579,843,204/809,452
  6. Step 6: Final answer
    x = 3,834,174.04

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