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Finding the Third Proportional to 418,041 and 903,150

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Solution

The third proportional to 418,041 and 903,150 is: 1,951,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,041 : 903,150 = 903,150 : x
  2. Step 2: Convert to fraction form
    418,041/903,150 = 903,150/x
  3. Step 3: Cross multiply
    418,041x = 903,150 × 903,150
  4. Step 4: Simplify right side
    418,041x = 815,679,922,500
  5. Step 5: Solve for x
    x = 815,679,922,500/418,041
  6. Step 6: Final answer
    x = 1,951,195.99

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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.