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Finding the Third Proportional to 2,802,519 and 4,198,189.50

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Solution

The third proportional to 2,802,519 and 4,198,189.50 is: 6,288,911.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802,519 : 4,198,189.50 = 4,198,189.50 : x
  2. Step 2: Convert to fraction form
    2,802,519/4,198,189.50 = 4,198,189.50/x
  3. Step 3: Cross multiply
    2,802,519x = 4,198,189.50 × 4,198,189.50
  4. Step 4: Simplify right side
    2,802,519x = 17,624,795,077,910.25
  5. Step 5: Solve for x
    x = 17,624,795,077,910.25/2,802,519
  6. Step 6: Final answer
    x = 6,288,911.90

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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.