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Finding the Third Proportional to 1,684,450 and 2,591,736

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Solution

The third proportional to 1,684,450 and 2,591,736 is: 3,987,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,450 : 2,591,736 = 2,591,736 : x
  2. Step 2: Convert to fraction form
    1,684,450/2,591,736 = 2,591,736/x
  3. Step 3: Cross multiply
    1,684,450x = 2,591,736 × 2,591,736
  4. Step 4: Simplify right side
    1,684,450x = 6,717,095,493,696
  5. Step 5: Solve for x
    x = 6,717,095,493,696/1,684,450
  6. Step 6: Final answer
    x = 3,987,708.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.