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Finding the Third Proportional to 773,144 and 1,683,530

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Solution

The third proportional to 773,144 and 1,683,530 is: 3,665,906.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,144 : 1,683,530 = 1,683,530 : x
  2. Step 2: Convert to fraction form
    773,144/1,683,530 = 1,683,530/x
  3. Step 3: Cross multiply
    773,144x = 1,683,530 × 1,683,530
  4. Step 4: Simplify right side
    773,144x = 2,834,273,260,900
  5. Step 5: Solve for x
    x = 2,834,273,260,900/773,144
  6. Step 6: Final answer
    x = 3,665,906.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.