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Finding the Third Proportional to 3,299,213 and 4,969,930

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Solution

The third proportional to 3,299,213 and 4,969,930 is: 7,486,695.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299,213 : 4,969,930 = 4,969,930 : x
  2. Step 2: Convert to fraction form
    3,299,213/4,969,930 = 4,969,930/x
  3. Step 3: Cross multiply
    3,299,213x = 4,969,930 × 4,969,930
  4. Step 4: Simplify right side
    3,299,213x = 24,700,204,204,900
  5. Step 5: Solve for x
    x = 24,700,204,204,900/3,299,213
  6. Step 6: Final answer
    x = 7,486,695.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.