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Finding the Third Proportional to 2,002,183 and 4,288,102

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Solution

The third proportional to 2,002,183 and 4,288,102 is: 9,183,885.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002,183 : 4,288,102 = 4,288,102 : x
  2. Step 2: Convert to fraction form
    2,002,183/4,288,102 = 4,288,102/x
  3. Step 3: Cross multiply
    2,002,183x = 4,288,102 × 4,288,102
  4. Step 4: Simplify right side
    2,002,183x = 18,387,818,762,404
  5. Step 5: Solve for x
    x = 18,387,818,762,404/2,002,183
  6. Step 6: Final answer
    x = 9,183,885.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.