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Finding the Third Proportional to 2,010,816 and 4,161,600

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Solution

The third proportional to 2,010,816 and 4,161,600 is: 8,612,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010,816 : 4,161,600 = 4,161,600 : x
  2. Step 2: Convert to fraction form
    2,010,816/4,161,600 = 4,161,600/x
  3. Step 3: Cross multiply
    2,010,816x = 4,161,600 × 4,161,600
  4. Step 4: Simplify right side
    2,010,816x = 17,318,914,560,000
  5. Step 5: Solve for x
    x = 17,318,914,560,000/2,010,816
  6. Step 6: Final answer
    x = 8,612,878.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.