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Finding the Third Proportional to 494,856 and 1,059,696

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Solution

The third proportional to 494,856 and 1,059,696 is: 2,269,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,856 : 1,059,696 = 1,059,696 : x
  2. Step 2: Convert to fraction form
    494,856/1,059,696 = 1,059,696/x
  3. Step 3: Cross multiply
    494,856x = 1,059,696 × 1,059,696
  4. Step 4: Simplify right side
    494,856x = 1,122,955,612,416
  5. Step 5: Solve for x
    x = 1,122,955,612,416/494,856
  6. Step 6: Final answer
    x = 2,269,257.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.