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Finding the Third Proportional to 816,578 and 1,200,675

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Solution

The third proportional to 816,578 and 1,200,675 is: 1,765,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,578 : 1,200,675 = 1,200,675 : x
  2. Step 2: Convert to fraction form
    816,578/1,200,675 = 1,200,675/x
  3. Step 3: Cross multiply
    816,578x = 1,200,675 × 1,200,675
  4. Step 4: Simplify right side
    816,578x = 1,441,620,455,625
  5. Step 5: Solve for x
    x = 1,441,620,455,625/816,578
  6. Step 6: Final answer
    x = 1,765,441.21

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.