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Finding the Third Proportional to 4,591,123 and 6,862,694

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Solution

The third proportional to 4,591,123 and 6,862,694 is: 10,258,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591,123 : 6,862,694 = 6,862,694 : x
  2. Step 2: Convert to fraction form
    4,591,123/6,862,694 = 6,862,694/x
  3. Step 3: Cross multiply
    4,591,123x = 6,862,694 × 6,862,694
  4. Step 4: Simplify right side
    4,591,123x = 47,096,568,937,636
  5. Step 5: Solve for x
    x = 47,096,568,937,636/4,591,123
  6. Step 6: Final answer
    x = 10,258,180.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.