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Finding the Third Proportional to 816,696 and 1,311,144

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Solution

The third proportional to 816,696 and 1,311,144 is: 2,104,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,696 : 1,311,144 = 1,311,144 : x
  2. Step 2: Convert to fraction form
    816,696/1,311,144 = 1,311,144/x
  3. Step 3: Cross multiply
    816,696x = 1,311,144 × 1,311,144
  4. Step 4: Simplify right side
    816,696x = 1,719,098,588,736
  5. Step 5: Solve for x
    x = 1,719,098,588,736/816,696
  6. Step 6: Final answer
    x = 2,104,943.07

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.