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Finding the Third Proportional to 825,607.69 and 1,162,648.69

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Solution

The third proportional to 825,607.69 and 1,162,648.69 is: 1,637,281.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,607.69 : 1,162,648.69 = 1,162,648.69 : x
  2. Step 2: Convert to fraction form
    825,607.69/1,162,648.69 = 1,162,648.69/x
  3. Step 3: Cross multiply
    825,607.69x = 1,162,648.69 × 1,162,648.69
  4. Step 4: Simplify right side
    825,607.69x = 1,351,751,970,545.47
  5. Step 5: Solve for x
    x = 1,351,751,970,545.47/825,607.69
  6. Step 6: Final answer
    x = 1,637,281.23

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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.