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Finding the Third Proportional to 636,067.69 and 1,384,325.44

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Solution

The third proportional to 636,067.69 and 1,384,325.44 is: 3,012,819.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,067.69 : 1,384,325.44 = 1,384,325.44 : x
  2. Step 2: Convert to fraction form
    636,067.69/1,384,325.44 = 1,384,325.44/x
  3. Step 3: Cross multiply
    636,067.69x = 1,384,325.44 × 1,384,325.44
  4. Step 4: Simplify right side
    636,067.69x = 1,916,356,916,909.57
  5. Step 5: Solve for x
    x = 1,916,356,916,909.57/636,067.69
  6. Step 6: Final answer
    x = 3,012,819.16

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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.