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Finding the Third Proportional to 2,154,847 and 3,213,584

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Solution

The third proportional to 2,154,847 and 3,213,584 is: 4,792,508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,847 : 3,213,584 = 3,213,584 : x
  2. Step 2: Convert to fraction form
    2,154,847/3,213,584 = 3,213,584/x
  3. Step 3: Cross multiply
    2,154,847x = 3,213,584 × 3,213,584
  4. Step 4: Simplify right side
    2,154,847x = 10,327,122,125,056
  5. Step 5: Solve for x
    x = 10,327,122,125,056/2,154,847
  6. Step 6: Final answer
    x = 4,792,508.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.