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Finding the Third Proportional to 1,659,408 and 3,640,224

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Solution

The third proportional to 1,659,408 and 3,640,224 is: 7,985,516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,408 : 3,640,224 = 3,640,224 : x
  2. Step 2: Convert to fraction form
    1,659,408/3,640,224 = 3,640,224/x
  3. Step 3: Cross multiply
    1,659,408x = 3,640,224 × 3,640,224
  4. Step 4: Simplify right side
    1,659,408x = 13,251,230,770,176
  5. Step 5: Solve for x
    x = 13,251,230,770,176/1,659,408
  6. Step 6: Final answer
    x = 7,985,516.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.