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Finding the Third Proportional to 600,224 and 1,268,000

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Solution

The third proportional to 600,224 and 1,268,000 is: 2,678,706.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,224 : 1,268,000 = 1,268,000 : x
  2. Step 2: Convert to fraction form
    600,224/1,268,000 = 1,268,000/x
  3. Step 3: Cross multiply
    600,224x = 1,268,000 × 1,268,000
  4. Step 4: Simplify right side
    600,224x = 1,607,824,000,000
  5. Step 5: Solve for x
    x = 1,607,824,000,000/600,224
  6. Step 6: Final answer
    x = 2,678,706.62

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.