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Finding the Third Proportional to 496,538.44 and 1,052,659.13

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Solution

The third proportional to 496,538.44 and 1,052,659.13 is: 2,231,632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,538.44 : 1,052,659.13 = 1,052,659.13 : x
  2. Step 2: Convert to fraction form
    496,538.44/1,052,659.13 = 1,052,659.13/x
  3. Step 3: Cross multiply
    496,538.44x = 1,052,659.13 × 1,052,659.13
  4. Step 4: Simplify right side
    496,538.44x = 1,108,091,233,445.77
  5. Step 5: Solve for x
    x = 1,108,091,233,445.77/496,538.44
  6. Step 6: Final answer
    x = 2,231,632.34

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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.