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Finding the Third Proportional to 666,176.91 and 1,465,183.69

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Solution

The third proportional to 666,176.91 and 1,465,183.69 is: 3,222,512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,176.91 : 1,465,183.69 = 1,465,183.69 : x
  2. Step 2: Convert to fraction form
    666,176.91/1,465,183.69 = 1,465,183.69/x
  3. Step 3: Cross multiply
    666,176.91x = 1,465,183.69 × 1,465,183.69
  4. Step 4: Simplify right side
    666,176.91x = 2,146,763,238,116.10
  5. Step 5: Solve for x
    x = 2,146,763,238,116.10/666,176.91
  6. Step 6: Final answer
    x = 3,222,512.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.