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Finding the Third Proportional to 375,926 and 826,288

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Solution

The third proportional to 375,926 and 826,288 is: 1,816,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,926 : 826,288 = 826,288 : x
  2. Step 2: Convert to fraction form
    375,926/826,288 = 826,288/x
  3. Step 3: Cross multiply
    375,926x = 826,288 × 826,288
  4. Step 4: Simplify right side
    375,926x = 682,751,858,944
  5. Step 5: Solve for x
    x = 682,751,858,944/375,926
  6. Step 6: Final answer
    x = 1,816,186.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.