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Finding the Third Proportional to 725,158 and 1,536,760

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Solution

The third proportional to 725,158 and 1,536,760 is: 3,256,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,158 : 1,536,760 = 1,536,760 : x
  2. Step 2: Convert to fraction form
    725,158/1,536,760 = 1,536,760/x
  3. Step 3: Cross multiply
    725,158x = 1,536,760 × 1,536,760
  4. Step 4: Simplify right side
    725,158x = 2,361,631,297,600
  5. Step 5: Solve for x
    x = 2,361,631,297,600/725,158
  6. Step 6: Final answer
    x = 3,256,712.74

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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.