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Finding the Third Proportional to 381,937 and 840,142.50

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Solution

The third proportional to 381,937 and 840,142.50 is: 1,848,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,937 : 840,142.50 = 840,142.50 : x
  2. Step 2: Convert to fraction form
    381,937/840,142.50 = 840,142.50/x
  3. Step 3: Cross multiply
    381,937x = 840,142.50 × 840,142.50
  4. Step 4: Simplify right side
    381,937x = 705,839,420,306.25
  5. Step 5: Solve for x
    x = 705,839,420,306.25/381,937
  6. Step 6: Final answer
    x = 1,848,051.96

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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.