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Finding the Third Proportional to 471,334 and 1,018,016

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Solution

The third proportional to 471,334 and 1,018,016 is: 2,198,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,334 : 1,018,016 = 1,018,016 : x
  2. Step 2: Convert to fraction form
    471,334/1,018,016 = 1,018,016/x
  3. Step 3: Cross multiply
    471,334x = 1,018,016 × 1,018,016
  4. Step 4: Simplify right side
    471,334x = 1,036,356,576,256
  5. Step 5: Solve for x
    x = 1,036,356,576,256/471,334
  6. Step 6: Final answer
    x = 2,198,773.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.