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Finding the Third Proportional to 684,936 and 1,093,824

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Solution

The third proportional to 684,936 and 1,093,824 is: 1,746,806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,936 : 1,093,824 = 1,093,824 : x
  2. Step 2: Convert to fraction form
    684,936/1,093,824 = 1,093,824/x
  3. Step 3: Cross multiply
    684,936x = 1,093,824 × 1,093,824
  4. Step 4: Simplify right side
    684,936x = 1,196,450,942,976
  5. Step 5: Solve for x
    x = 1,196,450,942,976/684,936
  6. Step 6: Final answer
    x = 1,746,806.92

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.