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Finding the Third Proportional to 965,178.75 and 2,098,452.75

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Solution

The third proportional to 965,178.75 and 2,098,452.75 is: 4,562,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,178.75 : 2,098,452.75 = 2,098,452.75 : x
  2. Step 2: Convert to fraction form
    965,178.75/2,098,452.75 = 2,098,452.75/x
  3. Step 3: Cross multiply
    965,178.75x = 2,098,452.75 × 2,098,452.75
  4. Step 4: Simplify right side
    965,178.75x = 4,403,503,943,982.56
  5. Step 5: Solve for x
    x = 4,403,503,943,982.56/965,178.75
  6. Step 6: Final answer
    x = 4,562,371.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.