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Finding the Third Proportional to 1,199,409 and 2,576,670

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Solution

The third proportional to 1,199,409 and 2,576,670 is: 5,535,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,409 : 2,576,670 = 2,576,670 : x
  2. Step 2: Convert to fraction form
    1,199,409/2,576,670 = 2,576,670/x
  3. Step 3: Cross multiply
    1,199,409x = 2,576,670 × 2,576,670
  4. Step 4: Simplify right side
    1,199,409x = 6,639,228,288,900
  5. Step 5: Solve for x
    x = 6,639,228,288,900/1,199,409
  6. Step 6: Final answer
    x = 5,535,416.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.