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Finding the Third Proportional to 2,589,867 and 4,053,766.50

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Solution

The third proportional to 2,589,867 and 4,053,766.50 is: 6,345,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589,867 : 4,053,766.50 = 4,053,766.50 : x
  2. Step 2: Convert to fraction form
    2,589,867/4,053,766.50 = 4,053,766.50/x
  3. Step 3: Cross multiply
    2,589,867x = 4,053,766.50 × 4,053,766.50
  4. Step 4: Simplify right side
    2,589,867x = 16,433,022,836,522.25
  5. Step 5: Solve for x
    x = 16,433,022,836,522.25/2,589,867
  6. Step 6: Final answer
    x = 6,345,122.29

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.