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Finding the Third Proportional to 1,100,880 and 2,248,416

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Solution

The third proportional to 1,100,880 and 2,248,416 is: 4,592,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,880 : 2,248,416 = 2,248,416 : x
  2. Step 2: Convert to fraction form
    1,100,880/2,248,416 = 2,248,416/x
  3. Step 3: Cross multiply
    1,100,880x = 2,248,416 × 2,248,416
  4. Step 4: Simplify right side
    1,100,880x = 5,055,374,509,056
  5. Step 5: Solve for x
    x = 5,055,374,509,056/1,100,880
  6. Step 6: Final answer
    x = 4,592,121.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.