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Finding the Third Proportional to 725,760 and 1,538,040

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Solution

The third proportional to 725,760 and 1,538,040 is: 3,259,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,760 : 1,538,040 = 1,538,040 : x
  2. Step 2: Convert to fraction form
    725,760/1,538,040 = 1,538,040/x
  3. Step 3: Cross multiply
    725,760x = 1,538,040 × 1,538,040
  4. Step 4: Simplify right side
    725,760x = 2,365,567,041,600
  5. Step 5: Solve for x
    x = 2,365,567,041,600/725,760
  6. Step 6: Final answer
    x = 3,259,434.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.