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Finding the Third Proportional to 1,612,224 and 2,436,480

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Solution

The third proportional to 1,612,224 and 2,436,480 is: 3,682,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612,224 : 2,436,480 = 2,436,480 : x
  2. Step 2: Convert to fraction form
    1,612,224/2,436,480 = 2,436,480/x
  3. Step 3: Cross multiply
    1,612,224x = 2,436,480 × 2,436,480
  4. Step 4: Simplify right side
    1,612,224x = 5,936,434,790,400
  5. Step 5: Solve for x
    x = 5,936,434,790,400/1,612,224
  6. Step 6: Final answer
    x = 3,682,140.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.