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Finding the Third Proportional to 2,463,164 and 3,922,412

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Solution

The third proportional to 2,463,164 and 3,922,412 is: 6,246,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,164 : 3,922,412 = 3,922,412 : x
  2. Step 2: Convert to fraction form
    2,463,164/3,922,412 = 3,922,412/x
  3. Step 3: Cross multiply
    2,463,164x = 3,922,412 × 3,922,412
  4. Step 4: Simplify right side
    2,463,164x = 15,385,315,897,744
  5. Step 5: Solve for x
    x = 15,385,315,897,744/2,463,164
  6. Step 6: Final answer
    x = 6,246,159.78

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