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Finding the Third Proportional to 825,713.16 and 1,162,791.28

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Solution

The third proportional to 825,713.16 and 1,162,791.28 is: 1,637,473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,713.16 : 1,162,791.28 = 1,162,791.28 : x
  2. Step 2: Convert to fraction form
    825,713.16/1,162,791.28 = 1,162,791.28/x
  3. Step 3: Cross multiply
    825,713.16x = 1,162,791.28 × 1,162,791.28
  4. Step 4: Simplify right side
    825,713.16x = 1,352,083,563,751.02
  5. Step 5: Solve for x
    x = 1,352,083,563,751.02/825,713.16
  6. Step 6: Final answer
    x = 1,637,473.68

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Why These Related Problems?

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