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Finding the Third Proportional to 1,269,171 and 2,769,851

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Solution

The third proportional to 1,269,171 and 2,769,851 is: 6,044,949.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269,171 : 2,769,851 = 2,769,851 : x
  2. Step 2: Convert to fraction form
    1,269,171/2,769,851 = 2,769,851/x
  3. Step 3: Cross multiply
    1,269,171x = 2,769,851 × 2,769,851
  4. Step 4: Simplify right side
    1,269,171x = 7,672,074,562,201
  5. Step 5: Solve for x
    x = 7,672,074,562,201/1,269,171
  6. Step 6: Final answer
    x = 6,044,949.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.