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Finding the Third Proportional to 2,001,827 and 4,145,610

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Solution

The third proportional to 2,001,827 and 4,145,610 is: 8,585,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,827 : 4,145,610 = 4,145,610 : x
  2. Step 2: Convert to fraction form
    2,001,827/4,145,610 = 4,145,610/x
  3. Step 3: Cross multiply
    2,001,827x = 4,145,610 × 4,145,610
  4. Step 4: Simplify right side
    2,001,827x = 17,186,082,272,100
  5. Step 5: Solve for x
    x = 17,186,082,272,100/2,001,827
  6. Step 6: Final answer
    x = 8,585,198.56

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