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Finding the Third Proportional to 504,696 and 1,103,856

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Solution

The third proportional to 504,696 and 1,103,856 is: 2,414,320.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,696 : 1,103,856 = 1,103,856 : x
  2. Step 2: Convert to fraction form
    504,696/1,103,856 = 1,103,856/x
  3. Step 3: Cross multiply
    504,696x = 1,103,856 × 1,103,856
  4. Step 4: Simplify right side
    504,696x = 1,218,498,068,736
  5. Step 5: Solve for x
    x = 1,218,498,068,736/504,696
  6. Step 6: Final answer
    x = 2,414,320.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.