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Finding the Third Proportional to 580,458.66 and 1,240,370.72

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Solution

The third proportional to 580,458.66 and 1,240,370.72 is: 2,650,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,458.66 : 1,240,370.72 = 1,240,370.72 : x
  2. Step 2: Convert to fraction form
    580,458.66/1,240,370.72 = 1,240,370.72/x
  3. Step 3: Cross multiply
    580,458.66x = 1,240,370.72 × 1,240,370.72
  4. Step 4: Simplify right side
    580,458.66x = 1,538,519,519,932.39
  5. Step 5: Solve for x
    x = 1,538,519,519,932.39/580,458.66
  6. Step 6: Final answer
    x = 2,650,523.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.