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Finding the Third Proportional to 1,836,432 and 3,967,947

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Solution

The third proportional to 1,836,432 and 3,967,947 is: 8,573,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,432 : 3,967,947 = 3,967,947 : x
  2. Step 2: Convert to fraction form
    1,836,432/3,967,947 = 3,967,947/x
  3. Step 3: Cross multiply
    1,836,432x = 3,967,947 × 3,967,947
  4. Step 4: Simplify right side
    1,836,432x = 15,744,603,394,809
  5. Step 5: Solve for x
    x = 15,744,603,394,809/1,836,432
  6. Step 6: Final answer
    x = 8,573,474.76

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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.