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Finding the Third Proportional to 3,295,092 and 4,930,705.50

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Solution

The third proportional to 3,295,092 and 4,930,705.50 is: 7,378,202.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295,092 : 4,930,705.50 = 4,930,705.50 : x
  2. Step 2: Convert to fraction form
    3,295,092/4,930,705.50 = 4,930,705.50/x
  3. Step 3: Cross multiply
    3,295,092x = 4,930,705.50 × 4,930,705.50
  4. Step 4: Simplify right side
    3,295,092x = 24,311,856,727,730.25
  5. Step 5: Solve for x
    x = 24,311,856,727,730.25/3,295,092
  6. Step 6: Final answer
    x = 7,378,202.71

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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.