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Finding the Third Proportional to 3,474,278.75 and 5,012,104.75

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Solution

The third proportional to 3,474,278.75 and 5,012,104.75 is: 7,230,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474,278.75 : 5,012,104.75 = 5,012,104.75 : x
  2. Step 2: Convert to fraction form
    3,474,278.75/5,012,104.75 = 5,012,104.75/x
  3. Step 3: Cross multiply
    3,474,278.75x = 5,012,104.75 × 5,012,104.75
  4. Step 4: Simplify right side
    3,474,278.75x = 25,121,194,024,972.56
  5. Step 5: Solve for x
    x = 25,121,194,024,972.56/3,474,278.75
  6. Step 6: Final answer
    x = 7,230,621.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.