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Finding the Third Proportional to 663,227 and 1,432,351

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Solution

The third proportional to 663,227 and 1,432,351 is: 3,093,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,227 : 1,432,351 = 1,432,351 : x
  2. Step 2: Convert to fraction form
    663,227/1,432,351 = 1,432,351/x
  3. Step 3: Cross multiply
    663,227x = 1,432,351 × 1,432,351
  4. Step 4: Simplify right side
    663,227x = 2,051,629,387,201
  5. Step 5: Solve for x
    x = 2,051,629,387,201/663,227
  6. Step 6: Final answer
    x = 3,093,404.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.