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Finding the Third Proportional to 2,006,936 and 4,288,624

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Solution

The third proportional to 2,006,936 and 4,288,624 is: 9,164,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,936 : 4,288,624 = 4,288,624 : x
  2. Step 2: Convert to fraction form
    2,006,936/4,288,624 = 4,288,624/x
  3. Step 3: Cross multiply
    2,006,936x = 4,288,624 × 4,288,624
  4. Step 4: Simplify right side
    2,006,936x = 18,392,295,813,376
  5. Step 5: Solve for x
    x = 18,392,295,813,376/2,006,936
  6. Step 6: Final answer
    x = 9,164,365.89

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