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Finding the Third Proportional to 725,171 and 1,593,910

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Solution

The third proportional to 725,171 and 1,593,910 is: 3,503,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,171 : 1,593,910 = 1,593,910 : x
  2. Step 2: Convert to fraction form
    725,171/1,593,910 = 1,593,910/x
  3. Step 3: Cross multiply
    725,171x = 1,593,910 × 1,593,910
  4. Step 4: Simplify right side
    725,171x = 2,540,549,088,100
  5. Step 5: Solve for x
    x = 2,540,549,088,100/725,171
  6. Step 6: Final answer
    x = 3,503,379.32

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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.