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Finding the Third Proportional to 580,512.94 and 1,231,556.63

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Solution

The third proportional to 580,512.94 and 1,231,556.63 is: 2,612,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,512.94 : 1,231,556.63 = 1,231,556.63 : x
  2. Step 2: Convert to fraction form
    580,512.94/1,231,556.63 = 1,231,556.63/x
  3. Step 3: Cross multiply
    580,512.94x = 1,231,556.63 × 1,231,556.63
  4. Step 4: Simplify right side
    580,512.94x = 1,516,731,720,581.39
  5. Step 5: Solve for x
    x = 1,516,731,720,581.39/580,512.94
  6. Step 6: Final answer
    x = 2,612,744.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.