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Finding the Third Proportional to 2,463,165 and 3,922,407

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Solution

The third proportional to 2,463,165 and 3,922,407 is: 6,246,141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,165 : 3,922,407 = 3,922,407 : x
  2. Step 2: Convert to fraction form
    2,463,165/3,922,407 = 3,922,407/x
  3. Step 3: Cross multiply
    2,463,165x = 3,922,407 × 3,922,407
  4. Step 4: Simplify right side
    2,463,165x = 15,385,276,673,649
  5. Step 5: Solve for x
    x = 15,385,276,673,649/2,463,165
  6. Step 6: Final answer
    x = 6,246,141.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.