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Finding the Third Proportional to 381,936 and 840,140.25

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Solution

The third proportional to 381,936 and 840,140.25 is: 1,848,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,936 : 840,140.25 = 840,140.25 : x
  2. Step 2: Convert to fraction form
    381,936/840,140.25 = 840,140.25/x
  3. Step 3: Cross multiply
    381,936x = 840,140.25 × 840,140.25
  4. Step 4: Simplify right side
    381,936x = 705,835,639,670.06
  5. Step 5: Solve for x
    x = 705,835,639,670.06/381,936
  6. Step 6: Final answer
    x = 1,848,046.90

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Why These Related Problems?

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