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Finding the Third Proportional to 1,467,934 and 2,067,184

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Solution

The third proportional to 1,467,934 and 2,067,184 is: 2,911,063.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467,934 : 2,067,184 = 2,067,184 : x
  2. Step 2: Convert to fraction form
    1,467,934/2,067,184 = 2,067,184/x
  3. Step 3: Cross multiply
    1,467,934x = 2,067,184 × 2,067,184
  4. Step 4: Simplify right side
    1,467,934x = 4,273,249,689,856
  5. Step 5: Solve for x
    x = 4,273,249,689,856/1,467,934
  6. Step 6: Final answer
    x = 2,911,063.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.