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Finding the Third Proportional to 2,065,198 and 4,473,624

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Solution

The third proportional to 2,065,198 and 4,473,624 is: 9,690,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065,198 : 4,473,624 = 4,473,624 : x
  2. Step 2: Convert to fraction form
    2,065,198/4,473,624 = 4,473,624/x
  3. Step 3: Cross multiply
    2,065,198x = 4,473,624 × 4,473,624
  4. Step 4: Simplify right side
    2,065,198x = 20,013,311,693,376
  5. Step 5: Solve for x
    x = 20,013,311,693,376/2,065,198
  6. Step 6: Final answer
    x = 9,690,747.18

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