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Finding the Third Proportional to 2,463,169 and 3,922,420

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Solution

The third proportional to 2,463,169 and 3,922,420 is: 6,246,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,169 : 3,922,420 = 3,922,420 : x
  2. Step 2: Convert to fraction form
    2,463,169/3,922,420 = 3,922,420/x
  3. Step 3: Cross multiply
    2,463,169x = 3,922,420 × 3,922,420
  4. Step 4: Simplify right side
    2,463,169x = 15,385,378,656,400
  5. Step 5: Solve for x
    x = 15,385,378,656,400/2,463,169
  6. Step 6: Final answer
    x = 6,246,172.58

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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.