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Finding the Third Proportional to 1,824,201 and 2,861,574.75

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Solution

The third proportional to 1,824,201 and 2,861,574.75 is: 4,488,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824,201 : 2,861,574.75 = 2,861,574.75 : x
  2. Step 2: Convert to fraction form
    1,824,201/2,861,574.75 = 2,861,574.75/x
  3. Step 3: Cross multiply
    1,824,201x = 2,861,574.75 × 2,861,574.75
  4. Step 4: Simplify right side
    1,824,201x = 8,188,610,049,837.56
  5. Step 5: Solve for x
    x = 8,188,610,049,837.56/1,824,201
  6. Step 6: Final answer
    x = 4,488,874.88

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.