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Finding the Third Proportional to 375,917 and 826,263

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Solution

The third proportional to 375,917 and 826,263 is: 1,816,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,917 : 826,263 = 826,263 : x
  2. Step 2: Convert to fraction form
    375,917/826,263 = 826,263/x
  3. Step 3: Cross multiply
    375,917x = 826,263 × 826,263
  4. Step 4: Simplify right side
    375,917x = 682,710,545,169
  5. Step 5: Solve for x
    x = 682,710,545,169/375,917
  6. Step 6: Final answer
    x = 1,816,120.43

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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.