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Finding the Third Proportional to 515,436 and 1,066,227

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Solution

The third proportional to 515,436 and 1,066,227 is: 2,205,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,436 : 1,066,227 = 1,066,227 : x
  2. Step 2: Convert to fraction form
    515,436/1,066,227 = 1,066,227/x
  3. Step 3: Cross multiply
    515,436x = 1,066,227 × 1,066,227
  4. Step 4: Simplify right side
    515,436x = 1,136,840,015,529
  5. Step 5: Solve for x
    x = 1,136,840,015,529/515,436
  6. Step 6: Final answer
    x = 2,205,589.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.