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Finding the Third Proportional to 471,906 and 1,022,544

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Solution

The third proportional to 471,906 and 1,022,544 is: 2,215,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,906 : 1,022,544 = 1,022,544 : x
  2. Step 2: Convert to fraction form
    471,906/1,022,544 = 1,022,544/x
  3. Step 3: Cross multiply
    471,906x = 1,022,544 × 1,022,544
  4. Step 4: Simplify right side
    471,906x = 1,045,596,231,936
  5. Step 5: Solve for x
    x = 1,045,596,231,936/471,906
  6. Step 6: Final answer
    x = 2,215,687.51

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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.