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Finding the Third Proportional to 3,299,949 and 5,250,919.50

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Solution

The third proportional to 3,299,949 and 5,250,919.50 is: 8,355,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299,949 : 5,250,919.50 = 5,250,919.50 : x
  2. Step 2: Convert to fraction form
    3,299,949/5,250,919.50 = 5,250,919.50/x
  3. Step 3: Cross multiply
    3,299,949x = 5,250,919.50 × 5,250,919.50
  4. Step 4: Simplify right side
    3,299,949x = 27,572,155,595,480.25
  5. Step 5: Solve for x
    x = 27,572,155,595,480.25/3,299,949
  6. Step 6: Final answer
    x = 8,355,327.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.