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Finding the Third Proportional to 2,277,200 and 4,906,288

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Solution

The third proportional to 2,277,200 and 4,906,288 is: 10,570,728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277,200 : 4,906,288 = 4,906,288 : x
  2. Step 2: Convert to fraction form
    2,277,200/4,906,288 = 4,906,288/x
  3. Step 3: Cross multiply
    2,277,200x = 4,906,288 × 4,906,288
  4. Step 4: Simplify right side
    2,277,200x = 24,071,661,938,944
  5. Step 5: Solve for x
    x = 24,071,661,938,944/2,277,200
  6. Step 6: Final answer
    x = 10,570,728.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.