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Finding the Third Proportional to 512,124.75 and 1,120,682.25

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Solution

The third proportional to 512,124.75 and 1,120,682.25 is: 2,452,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,124.75 : 1,120,682.25 = 1,120,682.25 : x
  2. Step 2: Convert to fraction form
    512,124.75/1,120,682.25 = 1,120,682.25/x
  3. Step 3: Cross multiply
    512,124.75x = 1,120,682.25 × 1,120,682.25
  4. Step 4: Simplify right side
    512,124.75x = 1,255,928,705,465.06
  5. Step 5: Solve for x
    x = 1,255,928,705,465.06/512,124.75
  6. Step 6: Final answer
    x = 2,452,388.22

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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.