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Finding the Third Proportional to 845,196 and 1,760,568

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Solution

The third proportional to 845,196 and 1,760,568 is: 3,667,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,196 : 1,760,568 = 1,760,568 : x
  2. Step 2: Convert to fraction form
    845,196/1,760,568 = 1,760,568/x
  3. Step 3: Cross multiply
    845,196x = 1,760,568 × 1,760,568
  4. Step 4: Simplify right side
    845,196x = 3,099,599,682,624
  5. Step 5: Solve for x
    x = 3,099,599,682,624/845,196
  6. Step 6: Final answer
    x = 3,667,314.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.