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Finding the Third Proportional to 2,463,171 and 3,922,423

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Solution

The third proportional to 2,463,171 and 3,922,423 is: 6,246,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,171 : 3,922,423 = 3,922,423 : x
  2. Step 2: Convert to fraction form
    2,463,171/3,922,423 = 3,922,423/x
  3. Step 3: Cross multiply
    2,463,171x = 3,922,423 × 3,922,423
  4. Step 4: Simplify right side
    2,463,171x = 15,385,402,190,929
  5. Step 5: Solve for x
    x = 15,385,402,190,929/2,463,171
  6. Step 6: Final answer
    x = 6,246,177.06

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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.