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Finding the Third Proportional to 534,231 and 1,151,406

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Solution

The third proportional to 534,231 and 1,151,406 is: 2,481,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,231 : 1,151,406 = 1,151,406 : x
  2. Step 2: Convert to fraction form
    534,231/1,151,406 = 1,151,406/x
  3. Step 3: Cross multiply
    534,231x = 1,151,406 × 1,151,406
  4. Step 4: Simplify right side
    534,231x = 1,325,735,776,836
  5. Step 5: Solve for x
    x = 1,325,735,776,836/534,231
  6. Step 6: Final answer
    x = 2,481,577.78

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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.