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Finding the Third Proportional to 1,213,508.25 and 2,696,375.25

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Solution

The third proportional to 1,213,508.25 and 2,696,375.25 is: 5,991,256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,508.25 : 2,696,375.25 = 2,696,375.25 : x
  2. Step 2: Convert to fraction form
    1,213,508.25/2,696,375.25 = 2,696,375.25/x
  3. Step 3: Cross multiply
    1,213,508.25x = 2,696,375.25 × 2,696,375.25
  4. Step 4: Simplify right side
    1,213,508.25x = 7,270,439,488,812.56
  5. Step 5: Solve for x
    x = 7,270,439,488,812.56/1,213,508.25
  6. Step 6: Final answer
    x = 5,991,256.75

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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.