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Finding the Third Proportional to 725,568 and 1,091,136

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Solution

The third proportional to 725,568 and 1,091,136 is: 1,640,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,568 : 1,091,136 = 1,091,136 : x
  2. Step 2: Convert to fraction form
    725,568/1,091,136 = 1,091,136/x
  3. Step 3: Cross multiply
    725,568x = 1,091,136 × 1,091,136
  4. Step 4: Simplify right side
    725,568x = 1,190,577,770,496
  5. Step 5: Solve for x
    x = 1,190,577,770,496/725,568
  6. Step 6: Final answer
    x = 1,640,890.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.