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Finding the Third Proportional to 852,023.81 and 1,864,382.06

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Solution

The third proportional to 852,023.81 and 1,864,382.06 is: 4,079,604.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,023.81 : 1,864,382.06 = 1,864,382.06 : x
  2. Step 2: Convert to fraction form
    852,023.81/1,864,382.06 = 1,864,382.06/x
  3. Step 3: Cross multiply
    852,023.81x = 1,864,382.06 × 1,864,382.06
  4. Step 4: Simplify right side
    852,023.81x = 3,475,920,474,971.75
  5. Step 5: Solve for x
    x = 3,475,920,474,971.75/852,023.81
  6. Step 6: Final answer
    x = 4,079,604.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.