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Finding the Third Proportional to 809,683 and 1,743,923

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Solution

The third proportional to 809,683 and 1,743,923 is: 3,756,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,683 : 1,743,923 = 1,743,923 : x
  2. Step 2: Convert to fraction form
    809,683/1,743,923 = 1,743,923/x
  3. Step 3: Cross multiply
    809,683x = 1,743,923 × 1,743,923
  4. Step 4: Simplify right side
    809,683x = 3,041,267,429,929
  5. Step 5: Solve for x
    x = 3,041,267,429,929/809,683
  6. Step 6: Final answer
    x = 3,756,121.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.