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Finding the Third Proportional to 402,736 and 940,600

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Solution

The third proportional to 402,736 and 940,600 is: 2,196,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,736 : 940,600 = 940,600 : x
  2. Step 2: Convert to fraction form
    402,736/940,600 = 940,600/x
  3. Step 3: Cross multiply
    402,736x = 940,600 × 940,600
  4. Step 4: Simplify right side
    402,736x = 884,728,360,000
  5. Step 5: Solve for x
    x = 884,728,360,000/402,736
  6. Step 6: Final answer
    x = 2,196,794.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.