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Finding the Third Proportional to 851,418.84 and 1,280,716.31

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Solution

The third proportional to 851,418.84 and 1,280,716.31 is: 1,926,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,418.84 : 1,280,716.31 = 1,280,716.31 : x
  2. Step 2: Convert to fraction form
    851,418.84/1,280,716.31 = 1,280,716.31/x
  3. Step 3: Cross multiply
    851,418.84x = 1,280,716.31 × 1,280,716.31
  4. Step 4: Simplify right side
    851,418.84x = 1,640,234,273,103.60
  5. Step 5: Solve for x
    x = 1,640,234,273,103.60/851,418.84
  6. Step 6: Final answer
    x = 1,926,471.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.