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Finding the Third Proportional to 1,465,344 and 2,324,736

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Solution

The third proportional to 1,465,344 and 2,324,736 is: 3,688,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465,344 : 2,324,736 = 2,324,736 : x
  2. Step 2: Convert to fraction form
    1,465,344/2,324,736 = 2,324,736/x
  3. Step 3: Cross multiply
    1,465,344x = 2,324,736 × 2,324,736
  4. Step 4: Simplify right side
    1,465,344x = 5,404,397,469,696
  5. Step 5: Solve for x
    x = 5,404,397,469,696/1,465,344
  6. Step 6: Final answer
    x = 3,688,142.49

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