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Finding the Third Proportional to 725,034 and 1,555,080

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Solution

The third proportional to 725,034 and 1,555,080 is: 3,335,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,034 : 1,555,080 = 1,555,080 : x
  2. Step 2: Convert to fraction form
    725,034/1,555,080 = 1,555,080/x
  3. Step 3: Cross multiply
    725,034x = 1,555,080 × 1,555,080
  4. Step 4: Simplify right side
    725,034x = 2,418,273,806,400
  5. Step 5: Solve for x
    x = 2,418,273,806,400/725,034
  6. Step 6: Final answer
    x = 3,335,393.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.