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Finding the Third Proportional to 1,824,150 and 3,998,544

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Solution

The third proportional to 1,824,150 and 3,998,544 is: 8,764,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,150 : 3,998,544 = 3,998,544 : x
  2. Step 2: Convert to fraction form
    1,824,150/3,998,544 = 3,998,544/x
  3. Step 3: Cross multiply
    1,824,150x = 3,998,544 × 3,998,544
  4. Step 4: Simplify right side
    1,824,150x = 15,988,354,119,936
  5. Step 5: Solve for x
    x = 15,988,354,119,936/1,824,150
  6. Step 6: Final answer
    x = 8,764,824.23

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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.