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Finding the Third Proportional to 470,204 and 1,109,796

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Solution

The third proportional to 470,204 and 1,109,796 is: 2,619,388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,204 : 1,109,796 = 1,109,796 : x
  2. Step 2: Convert to fraction form
    470,204/1,109,796 = 1,109,796/x
  3. Step 3: Cross multiply
    470,204x = 1,109,796 × 1,109,796
  4. Step 4: Simplify right side
    470,204x = 1,231,647,161,616
  5. Step 5: Solve for x
    x = 1,231,647,161,616/470,204
  6. Step 6: Final answer
    x = 2,619,388.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.