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Finding the Third Proportional to 2,001,784 and 3,102,218

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Solution

The third proportional to 2,001,784 and 3,102,218 is: 4,807,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,784 : 3,102,218 = 3,102,218 : x
  2. Step 2: Convert to fraction form
    2,001,784/3,102,218 = 3,102,218/x
  3. Step 3: Cross multiply
    2,001,784x = 3,102,218 × 3,102,218
  4. Step 4: Simplify right side
    2,001,784x = 9,623,756,519,524
  5. Step 5: Solve for x
    x = 9,623,756,519,524/2,001,784
  6. Step 6: Final answer
    x = 4,807,589.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.