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Finding the Third Proportional to 470,022 and 1,033,356

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Solution

The third proportional to 470,022 and 1,033,356 is: 2,271,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,022 : 1,033,356 = 1,033,356 : x
  2. Step 2: Convert to fraction form
    470,022/1,033,356 = 1,033,356/x
  3. Step 3: Cross multiply
    470,022x = 1,033,356 × 1,033,356
  4. Step 4: Simplify right side
    470,022x = 1,067,824,622,736
  5. Step 5: Solve for x
    x = 1,067,824,622,736/470,022
  6. Step 6: Final answer
    x = 2,271,860.94

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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.