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Finding the Third Proportional to 2,193,670 and 4,891,447

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Solution

The third proportional to 2,193,670 and 4,891,447 is: 10,906,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193,670 : 4,891,447 = 4,891,447 : x
  2. Step 2: Convert to fraction form
    2,193,670/4,891,447 = 4,891,447/x
  3. Step 3: Cross multiply
    2,193,670x = 4,891,447 × 4,891,447
  4. Step 4: Simplify right side
    2,193,670x = 23,926,253,753,809
  5. Step 5: Solve for x
    x = 23,926,253,753,809/2,193,670
  6. Step 6: Final answer
    x = 10,906,952.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.