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Finding the Third Proportional to 381,904.88 and 840,081.38

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Solution

The third proportional to 381,904.88 and 840,081.38 is: 1,847,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,904.88 : 840,081.38 = 840,081.38 : x
  2. Step 2: Convert to fraction form
    381,904.88/840,081.38 = 840,081.38/x
  3. Step 3: Cross multiply
    381,904.88x = 840,081.38 × 840,081.38
  4. Step 4: Simplify right side
    381,904.88x = 705,736,716,621.89
  5. Step 5: Solve for x
    x = 705,736,716,621.89/381,904.88
  6. Step 6: Final answer
    x = 1,847,938.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.