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Finding the Third Proportional to 2,408,628 and 3,280,698.75

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Solution

The third proportional to 2,408,628 and 3,280,698.75 is: 4,468,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408,628 : 3,280,698.75 = 3,280,698.75 : x
  2. Step 2: Convert to fraction form
    2,408,628/3,280,698.75 = 3,280,698.75/x
  3. Step 3: Cross multiply
    2,408,628x = 3,280,698.75 × 3,280,698.75
  4. Step 4: Simplify right side
    2,408,628x = 10,762,984,288,251.56
  5. Step 5: Solve for x
    x = 10,762,984,288,251.56/2,408,628
  6. Step 6: Final answer
    x = 4,468,512.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.