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Finding the Third Proportional to 512,880 and 1,116,060

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Solution

The third proportional to 512,880 and 1,116,060 is: 2,428,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,880 : 1,116,060 = 1,116,060 : x
  2. Step 2: Convert to fraction form
    512,880/1,116,060 = 1,116,060/x
  3. Step 3: Cross multiply
    512,880x = 1,116,060 × 1,116,060
  4. Step 4: Simplify right side
    512,880x = 1,245,589,923,600
  5. Step 5: Solve for x
    x = 1,245,589,923,600/512,880
  6. Step 6: Final answer
    x = 2,428,618.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.