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Finding the Third Proportional to 2,305,178 and 3,489,591

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Solution

The third proportional to 2,305,178 and 3,489,591 is: 5,282,561.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,178 : 3,489,591 = 3,489,591 : x
  2. Step 2: Convert to fraction form
    2,305,178/3,489,591 = 3,489,591/x
  3. Step 3: Cross multiply
    2,305,178x = 3,489,591 × 3,489,591
  4. Step 4: Simplify right side
    2,305,178x = 12,177,245,347,281
  5. Step 5: Solve for x
    x = 12,177,245,347,281/2,305,178
  6. Step 6: Final answer
    x = 5,282,561.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.