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Finding the Third Proportional to 2,008,143 and 4,414,866.75

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Solution

The third proportional to 2,008,143 and 4,414,866.75 is: 9,706,006.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,143 : 4,414,866.75 = 4,414,866.75 : x
  2. Step 2: Convert to fraction form
    2,008,143/4,414,866.75 = 4,414,866.75/x
  3. Step 3: Cross multiply
    2,008,143x = 4,414,866.75 × 4,414,866.75
  4. Step 4: Simplify right side
    2,008,143x = 19,491,048,420,255.56
  5. Step 5: Solve for x
    x = 19,491,048,420,255.56/2,008,143
  6. Step 6: Final answer
    x = 9,706,006.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.