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Finding the Third Proportional to 2,252,743.50 and 4,665,183

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Solution

The third proportional to 2,252,743.50 and 4,665,183 is: 9,661,078.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252,743.50 : 4,665,183 = 4,665,183 : x
  2. Step 2: Convert to fraction form
    2,252,743.50/4,665,183 = 4,665,183/x
  3. Step 3: Cross multiply
    2,252,743.50x = 4,665,183 × 4,665,183
  4. Step 4: Simplify right side
    2,252,743.50x = 21,763,932,423,489
  5. Step 5: Solve for x
    x = 21,763,932,423,489/2,252,743.50
  6. Step 6: Final answer
    x = 9,661,078.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.