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Finding the Third Proportional to 1,100,775 and 2,248,206

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Solution

The third proportional to 1,100,775 and 2,248,206 is: 4,591,701.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100,775 : 2,248,206 = 2,248,206 : x
  2. Step 2: Convert to fraction form
    1,100,775/2,248,206 = 2,248,206/x
  3. Step 3: Cross multiply
    1,100,775x = 2,248,206 × 2,248,206
  4. Step 4: Simplify right side
    1,100,775x = 5,054,430,218,436
  5. Step 5: Solve for x
    x = 5,054,430,218,436/1,100,775
  6. Step 6: Final answer
    x = 4,591,701.50

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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.