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Finding the Third Proportional to 1,833,921 and 3,982,923

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Solution

The third proportional to 1,833,921 and 3,982,923 is: 8,650,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833,921 : 3,982,923 = 3,982,923 : x
  2. Step 2: Convert to fraction form
    1,833,921/3,982,923 = 3,982,923/x
  3. Step 3: Cross multiply
    1,833,921x = 3,982,923 × 3,982,923
  4. Step 4: Simplify right side
    1,833,921x = 15,863,675,623,929
  5. Step 5: Solve for x
    x = 15,863,675,623,929/1,833,921
  6. Step 6: Final answer
    x = 8,650,141.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.