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Finding the Third Proportional to 600,240 and 1,280,832

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Solution

The third proportional to 600,240 and 1,280,832 is: 2,733,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,240 : 1,280,832 = 1,280,832 : x
  2. Step 2: Convert to fraction form
    600,240/1,280,832 = 1,280,832/x
  3. Step 3: Cross multiply
    600,240x = 1,280,832 × 1,280,832
  4. Step 4: Simplify right side
    600,240x = 1,640,530,612,224
  5. Step 5: Solve for x
    x = 1,640,530,612,224/600,240
  6. Step 6: Final answer
    x = 2,733,124.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.