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Finding the Third Proportional to 1,204,400 and 2,616,796

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Solution

The third proportional to 1,204,400 and 2,616,796 is: 5,685,504.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,400 : 2,616,796 = 2,616,796 : x
  2. Step 2: Convert to fraction form
    1,204,400/2,616,796 = 2,616,796/x
  3. Step 3: Cross multiply
    1,204,400x = 2,616,796 × 2,616,796
  4. Step 4: Simplify right side
    1,204,400x = 6,847,621,305,616
  5. Step 5: Solve for x
    x = 6,847,621,305,616/1,204,400
  6. Step 6: Final answer
    x = 5,685,504.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.