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Finding the Third Proportional to 601,917 and 1,336,695

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Solution

The third proportional to 601,917 and 1,336,695 is: 2,968,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,917 : 1,336,695 = 1,336,695 : x
  2. Step 2: Convert to fraction form
    601,917/1,336,695 = 1,336,695/x
  3. Step 3: Cross multiply
    601,917x = 1,336,695 × 1,336,695
  4. Step 4: Simplify right side
    601,917x = 1,786,753,523,025
  5. Step 5: Solve for x
    x = 1,786,753,523,025/601,917
  6. Step 6: Final answer
    x = 2,968,438.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.