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Finding the Third Proportional to 1,143,876 and 2,511,816

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Solution

The third proportional to 1,143,876 and 2,511,816 is: 5,515,649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143,876 : 2,511,816 = 2,511,816 : x
  2. Step 2: Convert to fraction form
    1,143,876/2,511,816 = 2,511,816/x
  3. Step 3: Cross multiply
    1,143,876x = 2,511,816 × 2,511,816
  4. Step 4: Simplify right side
    1,143,876x = 6,309,219,617,856
  5. Step 5: Solve for x
    x = 6,309,219,617,856/1,143,876
  6. Step 6: Final answer
    x = 5,515,649.96

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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.