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Finding the Third Proportional to 600,232 and 1,280,816

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Solution

The third proportional to 600,232 and 1,280,816 is: 2,733,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,232 : 1,280,816 = 1,280,816 : x
  2. Step 2: Convert to fraction form
    600,232/1,280,816 = 1,280,816/x
  3. Step 3: Cross multiply
    600,232x = 1,280,816 × 1,280,816
  4. Step 4: Simplify right side
    600,232x = 1,640,489,625,856
  5. Step 5: Solve for x
    x = 1,640,489,625,856/600,232
  6. Step 6: Final answer
    x = 2,733,092.58

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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.