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Finding the Third Proportional to 3,105,434 and 6,786,589

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Solution

The third proportional to 3,105,434 and 6,786,589 is: 14,831,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,434 : 6,786,589 = 6,786,589 : x
  2. Step 2: Convert to fraction form
    3,105,434/6,786,589 = 6,786,589/x
  3. Step 3: Cross multiply
    3,105,434x = 6,786,589 × 6,786,589
  4. Step 4: Simplify right side
    3,105,434x = 46,057,790,254,921
  5. Step 5: Solve for x
    x = 46,057,790,254,921/3,105,434
  6. Step 6: Final answer
    x = 14,831,353.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.