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Finding the Third Proportional to 392,613,560 and 850,659,172

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Solution

The third proportional to 392,613,560 and 850,659,172 is: 1,843,087,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,613,560 : 850,659,172 = 850,659,172 : x
  2. Step 2: Convert to fraction form
    392,613,560/850,659,172 = 850,659,172/x
  3. Step 3: Cross multiply
    392,613,560x = 850,659,172 × 850,659,172
  4. Step 4: Simplify right side
    392,613,560x = 723,621,026,907,725,568
  5. Step 5: Solve for x
    x = 723,621,026,907,725,568/392,613,560
  6. Step 6: Final answer
    x = 1,843,087,199.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.