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Finding the Third Proportional to 3,140,856 and 5,039,273.25

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Solution

The third proportional to 3,140,856 and 5,039,273.25 is: 8,085,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140,856 : 5,039,273.25 = 5,039,273.25 : x
  2. Step 2: Convert to fraction form
    3,140,856/5,039,273.25 = 5,039,273.25/x
  3. Step 3: Cross multiply
    3,140,856x = 5,039,273.25 × 5,039,273.25
  4. Step 4: Simplify right side
    3,140,856x = 25,394,274,888,165.56
  5. Step 5: Solve for x
    x = 25,394,274,888,165.56/3,140,856
  6. Step 6: Final answer
    x = 8,085,144.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.