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Finding the Third Proportional to 787,281.75 and 1,180,717.88

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Solution

The third proportional to 787,281.75 and 1,180,717.88 is: 1,770,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,281.75 : 1,180,717.88 = 1,180,717.88 : x
  2. Step 2: Convert to fraction form
    787,281.75/1,180,717.88 = 1,180,717.88/x
  3. Step 3: Cross multiply
    787,281.75x = 1,180,717.88 × 1,180,717.88
  4. Step 4: Simplify right side
    787,281.75x = 1,394,094,700,344.52
  5. Step 5: Solve for x
    x = 1,394,094,700,344.52/787,281.75
  6. Step 6: Final answer
    x = 1,770,769.74

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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.