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Finding the Third Proportional to 476,424 and 1,008,144

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Solution

The third proportional to 476,424 and 1,008,144 is: 2,133,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,424 : 1,008,144 = 1,008,144 : x
  2. Step 2: Convert to fraction form
    476,424/1,008,144 = 1,008,144/x
  3. Step 3: Cross multiply
    476,424x = 1,008,144 × 1,008,144
  4. Step 4: Simplify right side
    476,424x = 1,016,354,324,736
  5. Step 5: Solve for x
    x = 1,016,354,324,736/476,424
  6. Step 6: Final answer
    x = 2,133,297.91

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.