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Finding the Third Proportional to 490,431 and 1,056,000

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Solution

The third proportional to 490,431 and 1,056,000 is: 2,273,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,431 : 1,056,000 = 1,056,000 : x
  2. Step 2: Convert to fraction form
    490,431/1,056,000 = 1,056,000/x
  3. Step 3: Cross multiply
    490,431x = 1,056,000 × 1,056,000
  4. Step 4: Simplify right side
    490,431x = 1,115,136,000,000
  5. Step 5: Solve for x
    x = 1,115,136,000,000/490,431
  6. Step 6: Final answer
    x = 2,273,787.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.