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Finding the Third Proportional to 684,923 and 1,090,809

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Solution

The third proportional to 684,923 and 1,090,809 is: 1,737,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,923 : 1,090,809 = 1,090,809 : x
  2. Step 2: Convert to fraction form
    684,923/1,090,809 = 1,090,809/x
  3. Step 3: Cross multiply
    684,923x = 1,090,809 × 1,090,809
  4. Step 4: Simplify right side
    684,923x = 1,189,864,274,481
  5. Step 5: Solve for x
    x = 1,189,864,274,481/684,923
  6. Step 6: Final answer
    x = 1,737,223.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.