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Finding the Third Proportional to 684,933 and 1,090,824

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Solution

The third proportional to 684,933 and 1,090,824 is: 1,737,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,933 : 1,090,824 = 1,090,824 : x
  2. Step 2: Convert to fraction form
    684,933/1,090,824 = 1,090,824/x
  3. Step 3: Cross multiply
    684,933x = 1,090,824 × 1,090,824
  4. Step 4: Simplify right side
    684,933x = 1,189,896,998,976
  5. Step 5: Solve for x
    x = 1,189,896,998,976/684,933
  6. Step 6: Final answer
    x = 1,737,245.83

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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.