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Finding the Third Proportional to 4,454,976 and 6,786,912

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Solution

The third proportional to 4,454,976 and 6,786,912 is: 10,339,488.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454,976 : 6,786,912 = 6,786,912 : x
  2. Step 2: Convert to fraction form
    4,454,976/6,786,912 = 6,786,912/x
  3. Step 3: Cross multiply
    4,454,976x = 6,786,912 × 6,786,912
  4. Step 4: Simplify right side
    4,454,976x = 46,062,174,495,744
  5. Step 5: Solve for x
    x = 46,062,174,495,744/4,454,976
  6. Step 6: Final answer
    x = 10,339,488.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.