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Finding the Third Proportional to 2,414,640 and 5,027,280

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Solution

The third proportional to 2,414,640 and 5,027,280 is: 10,466,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,640 : 5,027,280 = 5,027,280 : x
  2. Step 2: Convert to fraction form
    2,414,640/5,027,280 = 5,027,280/x
  3. Step 3: Cross multiply
    2,414,640x = 5,027,280 × 5,027,280
  4. Step 4: Simplify right side
    2,414,640x = 25,273,544,198,400
  5. Step 5: Solve for x
    x = 25,273,544,198,400/2,414,640
  6. Step 6: Final answer
    x = 10,466,795.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.