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Finding the Third Proportional to 510,942.94 and 1,215,027.84

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Solution

The third proportional to 510,942.94 and 1,215,027.84 is: 2,889,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,942.94 : 1,215,027.84 = 1,215,027.84 : x
  2. Step 2: Convert to fraction form
    510,942.94/1,215,027.84 = 1,215,027.84/x
  3. Step 3: Cross multiply
    510,942.94x = 1,215,027.84 × 1,215,027.84
  4. Step 4: Simplify right side
    510,942.94x = 1,476,292,661,087.77
  5. Step 5: Solve for x
    x = 1,476,292,661,087.77/510,942.94
  6. Step 6: Final answer
    x = 2,889,349.38

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.