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Finding the Third Proportional to 683,723 and 1,061,427

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Solution

The third proportional to 683,723 and 1,061,427 is: 1,647,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,723 : 1,061,427 = 1,061,427 : x
  2. Step 2: Convert to fraction form
    683,723/1,061,427 = 1,061,427/x
  3. Step 3: Cross multiply
    683,723x = 1,061,427 × 1,061,427
  4. Step 4: Simplify right side
    683,723x = 1,126,627,276,329
  5. Step 5: Solve for x
    x = 1,126,627,276,329/683,723
  6. Step 6: Final answer
    x = 1,647,783.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.