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Finding the Third Proportional to 787,282 and 1,180,718

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Solution

The third proportional to 787,282 and 1,180,718 is: 1,770,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,282 : 1,180,718 = 1,180,718 : x
  2. Step 2: Convert to fraction form
    787,282/1,180,718 = 1,180,718/x
  3. Step 3: Cross multiply
    787,282x = 1,180,718 × 1,180,718
  4. Step 4: Simplify right side
    787,282x = 1,394,094,995,524
  5. Step 5: Solve for x
    x = 1,394,094,995,524/787,282
  6. Step 6: Final answer
    x = 1,770,769.55

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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.