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Finding the Third Proportional to 852,189.75 and 1,824,084

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Solution

The third proportional to 852,189.75 and 1,824,084 is: 3,904,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,189.75 : 1,824,084 = 1,824,084 : x
  2. Step 2: Convert to fraction form
    852,189.75/1,824,084 = 1,824,084/x
  3. Step 3: Cross multiply
    852,189.75x = 1,824,084 × 1,824,084
  4. Step 4: Simplify right side
    852,189.75x = 3,327,282,439,056
  5. Step 5: Solve for x
    x = 3,327,282,439,056/852,189.75
  6. Step 6: Final answer
    x = 3,904,391.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.