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Finding the Third Proportional to 800,254.69 and 1,200,412.41

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Solution

The third proportional to 800,254.69 and 1,200,412.41 is: 1,800,664.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,254.69 : 1,200,412.41 = 1,200,412.41 : x
  2. Step 2: Convert to fraction form
    800,254.69/1,200,412.41 = 1,200,412.41/x
  3. Step 3: Cross multiply
    800,254.69x = 1,200,412.41 × 1,200,412.41
  4. Step 4: Simplify right side
    800,254.69x = 1,440,989,945,078.92
  5. Step 5: Solve for x
    x = 1,440,989,945,078.92/800,254.69
  6. Step 6: Final answer
    x = 1,800,664.17

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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.