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Finding the Third Proportional to 725,452 and 1,579,400

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Solution

The third proportional to 725,452 and 1,579,400 is: 3,438,551.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,452 : 1,579,400 = 1,579,400 : x
  2. Step 2: Convert to fraction form
    725,452/1,579,400 = 1,579,400/x
  3. Step 3: Cross multiply
    725,452x = 1,579,400 × 1,579,400
  4. Step 4: Simplify right side
    725,452x = 2,494,504,360,000
  5. Step 5: Solve for x
    x = 2,494,504,360,000/725,452
  6. Step 6: Final answer
    x = 3,438,551.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.