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Finding the Third Proportional to 517,212 and 1,138,104

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Solution

The third proportional to 517,212 and 1,138,104 is: 2,504,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,212 : 1,138,104 = 1,138,104 : x
  2. Step 2: Convert to fraction form
    517,212/1,138,104 = 1,138,104/x
  3. Step 3: Cross multiply
    517,212x = 1,138,104 × 1,138,104
  4. Step 4: Simplify right side
    517,212x = 1,295,280,714,816
  5. Step 5: Solve for x
    x = 1,295,280,714,816/517,212
  6. Step 6: Final answer
    x = 2,504,351.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.