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Finding the Third Proportional to 945,522.56 and 1,414,942.03

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Solution

The third proportional to 945,522.56 and 1,414,942.03 is: 2,117,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,522.56 : 1,414,942.03 = 1,414,942.03 : x
  2. Step 2: Convert to fraction form
    945,522.56/1,414,942.03 = 1,414,942.03/x
  3. Step 3: Cross multiply
    945,522.56x = 1,414,942.03 × 1,414,942.03
  4. Step 4: Simplify right side
    945,522.56x = 2,002,060,951,797.88
  5. Step 5: Solve for x
    x = 2,002,060,951,797.88/945,522.56
  6. Step 6: Final answer
    x = 2,117,412.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.