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Finding the Third Proportional to 3,152,704 and 6,832,256

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Solution

The third proportional to 3,152,704 and 6,832,256 is: 14,806,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152,704 : 6,832,256 = 6,832,256 : x
  2. Step 2: Convert to fraction form
    3,152,704/6,832,256 = 6,832,256/x
  3. Step 3: Cross multiply
    3,152,704x = 6,832,256 × 6,832,256
  4. Step 4: Simplify right side
    3,152,704x = 46,679,722,049,536
  5. Step 5: Solve for x
    x = 46,679,722,049,536/3,152,704
  6. Step 6: Final answer
    x = 14,806,249.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.