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Finding the Third Proportional to 375,933 and 826,638

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Solution

The third proportional to 375,933 and 826,638 is: 1,817,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,933 : 826,638 = 826,638 : x
  2. Step 2: Convert to fraction form
    375,933/826,638 = 826,638/x
  3. Step 3: Cross multiply
    375,933x = 826,638 × 826,638
  4. Step 4: Simplify right side
    375,933x = 683,330,383,044
  5. Step 5: Solve for x
    x = 683,330,383,044/375,933
  6. Step 6: Final answer
    x = 1,817,691.94

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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.