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Finding the Third Proportional to 1,514,033 and 3,198,661

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Solution

The third proportional to 1,514,033 and 3,198,661 is: 6,757,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,033 : 3,198,661 = 3,198,661 : x
  2. Step 2: Convert to fraction form
    1,514,033/3,198,661 = 3,198,661/x
  3. Step 3: Cross multiply
    1,514,033x = 3,198,661 × 3,198,661
  4. Step 4: Simplify right side
    1,514,033x = 10,231,432,192,921
  5. Step 5: Solve for x
    x = 10,231,432,192,921/1,514,033
  6. Step 6: Final answer
    x = 6,757,733.94

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.