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Finding the Third Proportional to 2,040,380 and 4,454,672

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Solution

The third proportional to 2,040,380 and 4,454,672 is: 9,725,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,380 : 4,454,672 = 4,454,672 : x
  2. Step 2: Convert to fraction form
    2,040,380/4,454,672 = 4,454,672/x
  3. Step 3: Cross multiply
    2,040,380x = 4,454,672 × 4,454,672
  4. Step 4: Simplify right side
    2,040,380x = 19,844,102,627,584
  5. Step 5: Solve for x
    x = 19,844,102,627,584/2,040,380
  6. Step 6: Final answer
    x = 9,725,689.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.