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Finding the Third Proportional to 2,551,500 and 5,219,640

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Solution

The third proportional to 2,551,500 and 5,219,640 is: 10,677,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551,500 : 5,219,640 = 5,219,640 : x
  2. Step 2: Convert to fraction form
    2,551,500/5,219,640 = 5,219,640/x
  3. Step 3: Cross multiply
    2,551,500x = 5,219,640 × 5,219,640
  4. Step 4: Simplify right side
    2,551,500x = 27,244,641,729,600
  5. Step 5: Solve for x
    x = 27,244,641,729,600/2,551,500
  6. Step 6: Final answer
    x = 10,677,892.11

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.