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Finding the Third Proportional to 792,284.06 and 1,188,596.81

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Solution

The third proportional to 792,284.06 and 1,188,596.81 is: 1,783,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,284.06 : 1,188,596.81 = 1,188,596.81 : x
  2. Step 2: Convert to fraction form
    792,284.06/1,188,596.81 = 1,188,596.81/x
  3. Step 3: Cross multiply
    792,284.06x = 1,188,596.81 × 1,188,596.81
  4. Step 4: Simplify right side
    792,284.06x = 1,412,762,382,685.16
  5. Step 5: Solve for x
    x = 1,412,762,382,685.16/792,284.06
  6. Step 6: Final answer
    x = 1,783,151.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.