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Finding the Third Proportional to 825,731 and 1,162,779

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Solution

The third proportional to 825,731 and 1,162,779 is: 1,637,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,731 : 1,162,779 = 1,162,779 : x
  2. Step 2: Convert to fraction form
    825,731/1,162,779 = 1,162,779/x
  3. Step 3: Cross multiply
    825,731x = 1,162,779 × 1,162,779
  4. Step 4: Simplify right side
    825,731x = 1,352,055,002,841
  5. Step 5: Solve for x
    x = 1,352,055,002,841/825,731
  6. Step 6: Final answer
    x = 1,637,403.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.