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Finding the Third Proportional to 2,040,382 and 4,454,676

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Solution

The third proportional to 2,040,382 and 4,454,676 is: 9,725,697.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,382 : 4,454,676 = 4,454,676 : x
  2. Step 2: Convert to fraction form
    2,040,382/4,454,676 = 4,454,676/x
  3. Step 3: Cross multiply
    2,040,382x = 4,454,676 × 4,454,676
  4. Step 4: Simplify right side
    2,040,382x = 19,844,138,264,976
  5. Step 5: Solve for x
    x = 19,844,138,264,976/2,040,382
  6. Step 6: Final answer
    x = 9,725,697.57

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Why These Related Problems?

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