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Finding the Third Proportional to 519,966 and 1,080,756

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Solution

The third proportional to 519,966 and 1,080,756 is: 2,246,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,966 : 1,080,756 = 1,080,756 : x
  2. Step 2: Convert to fraction form
    519,966/1,080,756 = 1,080,756/x
  3. Step 3: Cross multiply
    519,966x = 1,080,756 × 1,080,756
  4. Step 4: Simplify right side
    519,966x = 1,168,033,531,536
  5. Step 5: Solve for x
    x = 1,168,033,531,536/519,966
  6. Step 6: Final answer
    x = 2,246,365.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.