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Finding the Third Proportional to 3,295,096 and 4,930,711

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Solution

The third proportional to 3,295,096 and 4,930,711 is: 7,378,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295,096 : 4,930,711 = 4,930,711 : x
  2. Step 2: Convert to fraction form
    3,295,096/4,930,711 = 4,930,711/x
  3. Step 3: Cross multiply
    3,295,096x = 4,930,711 × 4,930,711
  4. Step 4: Simplify right side
    3,295,096x = 24,311,910,965,521
  5. Step 5: Solve for x
    x = 24,311,910,965,521/3,295,096
  6. Step 6: Final answer
    x = 7,378,210.21

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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.