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Finding the Third Proportional to 1,227,814 and 2,514,668

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Solution

The third proportional to 1,227,814 and 2,514,668 is: 5,150,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,814 : 2,514,668 = 2,514,668 : x
  2. Step 2: Convert to fraction form
    1,227,814/2,514,668 = 2,514,668/x
  3. Step 3: Cross multiply
    1,227,814x = 2,514,668 × 2,514,668
  4. Step 4: Simplify right side
    1,227,814x = 6,323,555,150,224
  5. Step 5: Solve for x
    x = 6,323,555,150,224/1,227,814
  6. Step 6: Final answer
    x = 5,150,254.97

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.