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Finding the Third Proportional to 886,760.16 and 1,836,578.81

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Solution

The third proportional to 886,760.16 and 1,836,578.81 is: 3,803,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,760.16 : 1,836,578.81 = 1,836,578.81 : x
  2. Step 2: Convert to fraction form
    886,760.16/1,836,578.81 = 1,836,578.81/x
  3. Step 3: Cross multiply
    886,760.16x = 1,836,578.81 × 1,836,578.81
  4. Step 4: Simplify right side
    886,760.16x = 3,373,021,734,523.91
  5. Step 5: Solve for x
    x = 3,373,021,734,523.91/886,760.16
  6. Step 6: Final answer
    x = 3,803,758.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.