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Finding the Third Proportional to 1,091,448 and 2,227,284

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Solution

The third proportional to 1,091,448 and 2,227,284 is: 4,545,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091,448 : 2,227,284 = 2,227,284 : x
  2. Step 2: Convert to fraction form
    1,091,448/2,227,284 = 2,227,284/x
  3. Step 3: Cross multiply
    1,091,448x = 2,227,284 × 2,227,284
  4. Step 4: Simplify right side
    1,091,448x = 4,960,794,016,656
  5. Step 5: Solve for x
    x = 4,960,794,016,656/1,091,448
  6. Step 6: Final answer
    x = 4,545,149.21

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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.