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Finding the Third Proportional to 725,121 and 1,579,275

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Solution

The third proportional to 725,121 and 1,579,275 is: 3,439,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,121 : 1,579,275 = 1,579,275 : x
  2. Step 2: Convert to fraction form
    725,121/1,579,275 = 1,579,275/x
  3. Step 3: Cross multiply
    725,121x = 1,579,275 × 1,579,275
  4. Step 4: Simplify right side
    725,121x = 2,494,109,525,625
  5. Step 5: Solve for x
    x = 2,494,109,525,625/725,121
  6. Step 6: Final answer
    x = 3,439,577.02

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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.