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Finding the Third Proportional to 537,408 and 1,180,800

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Solution

The third proportional to 537,408 and 1,180,800 is: 2,594,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,408 : 1,180,800 = 1,180,800 : x
  2. Step 2: Convert to fraction form
    537,408/1,180,800 = 1,180,800/x
  3. Step 3: Cross multiply
    537,408x = 1,180,800 × 1,180,800
  4. Step 4: Simplify right side
    537,408x = 1,394,288,640,000
  5. Step 5: Solve for x
    x = 1,394,288,640,000/537,408
  6. Step 6: Final answer
    x = 2,594,469.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.