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Finding the Third Proportional to 646,744 and 1,396,736

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Solution

The third proportional to 646,744 and 1,396,736 is: 3,016,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,744 : 1,396,736 = 1,396,736 : x
  2. Step 2: Convert to fraction form
    646,744/1,396,736 = 1,396,736/x
  3. Step 3: Cross multiply
    646,744x = 1,396,736 × 1,396,736
  4. Step 4: Simplify right side
    646,744x = 1,950,871,453,696
  5. Step 5: Solve for x
    x = 1,950,871,453,696/646,744
  6. Step 6: Final answer
    x = 3,016,450.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.