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Finding the Third Proportional to 3,719,976 and 5,265,213

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Solution

The third proportional to 3,719,976 and 5,265,213 is: 7,452,324.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719,976 : 5,265,213 = 5,265,213 : x
  2. Step 2: Convert to fraction form
    3,719,976/5,265,213 = 5,265,213/x
  3. Step 3: Cross multiply
    3,719,976x = 5,265,213 × 5,265,213
  4. Step 4: Simplify right side
    3,719,976x = 27,722,467,935,369
  5. Step 5: Solve for x
    x = 27,722,467,935,369/3,719,976
  6. Step 6: Final answer
    x = 7,452,324.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.