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Finding the Third Proportional to 2,154,854 and 3,213,592

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Solution

The third proportional to 2,154,854 and 3,213,592 is: 4,792,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154,854 : 3,213,592 = 3,213,592 : x
  2. Step 2: Convert to fraction form
    2,154,854/3,213,592 = 3,213,592/x
  3. Step 3: Cross multiply
    2,154,854x = 3,213,592 × 3,213,592
  4. Step 4: Simplify right side
    2,154,854x = 10,327,173,542,464
  5. Step 5: Solve for x
    x = 10,327,173,542,464/2,154,854
  6. Step 6: Final answer
    x = 4,792,516.59

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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.