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Finding the Third Proportional to 2,899,360 and 6,171,968

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Solution

The third proportional to 2,899,360 and 6,171,968 is: 13,138,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899,360 : 6,171,968 = 6,171,968 : x
  2. Step 2: Convert to fraction form
    2,899,360/6,171,968 = 6,171,968/x
  3. Step 3: Cross multiply
    2,899,360x = 6,171,968 × 6,171,968
  4. Step 4: Simplify right side
    2,899,360x = 38,093,188,993,024
  5. Step 5: Solve for x
    x = 38,093,188,993,024/2,899,360
  6. Step 6: Final answer
    x = 13,138,481.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.