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Finding the Third Proportional to 447,942.02 and 970,600.85

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Solution

The third proportional to 447,942.02 and 970,600.85 is: 2,103,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,942.02 : 970,600.85 = 970,600.85 : x
  2. Step 2: Convert to fraction form
    447,942.02/970,600.85 = 970,600.85/x
  3. Step 3: Cross multiply
    447,942.02x = 970,600.85 × 970,600.85
  4. Step 4: Simplify right side
    447,942.02x = 942,066,013,053.85
  5. Step 5: Solve for x
    x = 942,066,013,053.85/447,942.02
  6. Step 6: Final answer
    x = 2,103,098.09

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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.