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Finding the Third Proportional to 395,728 and 933,226

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Solution

The third proportional to 395,728 and 933,226 is: 2,200,781.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,728 : 933,226 = 933,226 : x
  2. Step 2: Convert to fraction form
    395,728/933,226 = 933,226/x
  3. Step 3: Cross multiply
    395,728x = 933,226 × 933,226
  4. Step 4: Simplify right side
    395,728x = 870,910,767,076
  5. Step 5: Solve for x
    x = 870,910,767,076/395,728
  6. Step 6: Final answer
    x = 2,200,781.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.