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Finding the Third Proportional to 728,844 and 1,601,184

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Solution

The third proportional to 728,844 and 1,601,184 is: 3,517,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,844 : 1,601,184 = 1,601,184 : x
  2. Step 2: Convert to fraction form
    728,844/1,601,184 = 1,601,184/x
  3. Step 3: Cross multiply
    728,844x = 1,601,184 × 1,601,184
  4. Step 4: Simplify right side
    728,844x = 2,563,790,201,856
  5. Step 5: Solve for x
    x = 2,563,790,201,856/728,844
  6. Step 6: Final answer
    x = 3,517,611.73

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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.