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Finding the Third Proportional to 378,488 and 826,635

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Solution

The third proportional to 378,488 and 826,635 is: 1,805,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,488 : 826,635 = 826,635 : x
  2. Step 2: Convert to fraction form
    378,488/826,635 = 826,635/x
  3. Step 3: Cross multiply
    378,488x = 826,635 × 826,635
  4. Step 4: Simplify right side
    378,488x = 683,325,423,225
  5. Step 5: Solve for x
    x = 683,325,423,225/378,488
  6. Step 6: Final answer
    x = 1,805,408.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.