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Finding the Third Proportional to 852,178.78 and 1,824,061.78

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Solution

The third proportional to 852,178.78 and 1,824,061.78 is: 3,904,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,178.78 : 1,824,061.78 = 1,824,061.78 : x
  2. Step 2: Convert to fraction form
    852,178.78/1,824,061.78 = 1,824,061.78/x
  3. Step 3: Cross multiply
    852,178.78x = 1,824,061.78 × 1,824,061.78
  4. Step 4: Simplify right side
    852,178.78x = 3,327,201,381,816.92
  5. Step 5: Solve for x
    x = 3,327,201,381,816.92/852,178.78
  6. Step 6: Final answer
    x = 3,904,346.66

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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.