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Finding the Third Proportional to 512,474.63 and 1,121,478.75

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Solution

The third proportional to 512,474.63 and 1,121,478.75 is: 2,454,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,474.63 : 1,121,478.75 = 1,121,478.75 : x
  2. Step 2: Convert to fraction form
    512,474.63/1,121,478.75 = 1,121,478.75/x
  3. Step 3: Cross multiply
    512,474.63x = 1,121,478.75 × 1,121,478.75
  4. Step 4: Simplify right side
    512,474.63x = 1,257,714,586,701.56
  5. Step 5: Solve for x
    x = 1,257,714,586,701.56/512,474.63
  6. Step 6: Final answer
    x = 2,454,198.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.