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Finding the Third Proportional to 787,286.25 and 1,180,724.63

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Solution

The third proportional to 787,286.25 and 1,180,724.63 is: 1,770,779.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,286.25 : 1,180,724.63 = 1,180,724.63 : x
  2. Step 2: Convert to fraction form
    787,286.25/1,180,724.63 = 1,180,724.63/x
  3. Step 3: Cross multiply
    787,286.25x = 1,180,724.63 × 1,180,724.63
  4. Step 4: Simplify right side
    787,286.25x = 1,394,110,640,081.39
  5. Step 5: Solve for x
    x = 1,394,110,640,081.39/787,286.25
  6. Step 6: Final answer
    x = 1,770,779.87

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Why These Related Problems?

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