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Finding the Third Proportional to 2,008,299 and 4,415,129.25

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Solution

The third proportional to 2,008,299 and 4,415,129.25 is: 9,706,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,299 : 4,415,129.25 = 4,415,129.25 : x
  2. Step 2: Convert to fraction form
    2,008,299/4,415,129.25 = 4,415,129.25/x
  3. Step 3: Cross multiply
    2,008,299x = 4,415,129.25 × 4,415,129.25
  4. Step 4: Simplify right side
    2,008,299x = 19,493,366,294,205.56
  5. Step 5: Solve for x
    x = 19,493,366,294,205.56/2,008,299
  6. Step 6: Final answer
    x = 9,706,406.41

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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.