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Finding the Third Proportional to 2,004,883.50 and 4,678,223

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Solution

The third proportional to 2,004,883.50 and 4,678,223 is: 10,916,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,883.50 : 4,678,223 = 4,678,223 : x
  2. Step 2: Convert to fraction form
    2,004,883.50/4,678,223 = 4,678,223/x
  3. Step 3: Cross multiply
    2,004,883.50x = 4,678,223 × 4,678,223
  4. Step 4: Simplify right side
    2,004,883.50x = 21,885,770,437,729
  5. Step 5: Solve for x
    x = 21,885,770,437,729/2,004,883.50
  6. Step 6: Final answer
    x = 10,916,230.51

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.