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Finding the Third Proportional to 680,923 and 1,494,090

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Solution

The third proportional to 680,923 and 1,494,090 is: 3,278,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,923 : 1,494,090 = 1,494,090 : x
  2. Step 2: Convert to fraction form
    680,923/1,494,090 = 1,494,090/x
  3. Step 3: Cross multiply
    680,923x = 1,494,090 × 1,494,090
  4. Step 4: Simplify right side
    680,923x = 2,232,304,928,100
  5. Step 5: Solve for x
    x = 2,232,304,928,100/680,923
  6. Step 6: Final answer
    x = 3,278,351.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.