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Finding the Third Proportional to 725,132 and 1,595,254

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Solution

The third proportional to 725,132 and 1,595,254 is: 3,509,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,132 : 1,595,254 = 1,595,254 : x
  2. Step 2: Convert to fraction form
    725,132/1,595,254 = 1,595,254/x
  3. Step 3: Cross multiply
    725,132x = 1,595,254 × 1,595,254
  4. Step 4: Simplify right side
    725,132x = 2,544,835,324,516
  5. Step 5: Solve for x
    x = 2,544,835,324,516/725,132
  6. Step 6: Final answer
    x = 3,509,478.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.