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Finding the Third Proportional to 1,512,980 and 3,226,216

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Solution

The third proportional to 1,512,980 and 3,226,216 is: 6,879,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512,980 : 3,226,216 = 3,226,216 : x
  2. Step 2: Convert to fraction form
    1,512,980/3,226,216 = 3,226,216/x
  3. Step 3: Cross multiply
    1,512,980x = 3,226,216 × 3,226,216
  4. Step 4: Simplify right side
    1,512,980x = 10,408,469,678,656
  5. Step 5: Solve for x
    x = 10,408,469,678,656/1,512,980
  6. Step 6: Final answer
    x = 6,879,449.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.