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Finding the Third Proportional to 535,320 and 1,188,736

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Solution

The third proportional to 535,320 and 1,188,736 is: 2,639,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,320 : 1,188,736 = 1,188,736 : x
  2. Step 2: Convert to fraction form
    535,320/1,188,736 = 1,188,736/x
  3. Step 3: Cross multiply
    535,320x = 1,188,736 × 1,188,736
  4. Step 4: Simplify right side
    535,320x = 1,413,093,277,696
  5. Step 5: Solve for x
    x = 1,413,093,277,696/535,320
  6. Step 6: Final answer
    x = 2,639,716.95

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.