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Finding the Third Proportional to 1,770,171.47 and 3,798,408.94

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Solution

The third proportional to 1,770,171.47 and 3,798,408.94 is: 8,150,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770,171.47 : 3,798,408.94 = 3,798,408.94 : x
  2. Step 2: Convert to fraction form
    1,770,171.47/3,798,408.94 = 3,798,408.94/x
  3. Step 3: Cross multiply
    1,770,171.47x = 3,798,408.94 × 3,798,408.94
  4. Step 4: Simplify right side
    1,770,171.47x = 14,427,910,456,479.88
  5. Step 5: Solve for x
    x = 14,427,910,456,479.88/1,770,171.47
  6. Step 6: Final answer
    x = 8,150,572.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.