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Finding the Third Proportional to 582,596.30 and 1,246,149.56

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Solution

The third proportional to 582,596.30 and 1,246,149.56 is: 2,665,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,596.30 : 1,246,149.56 = 1,246,149.56 : x
  2. Step 2: Convert to fraction form
    582,596.30/1,246,149.56 = 1,246,149.56/x
  3. Step 3: Cross multiply
    582,596.30x = 1,246,149.56 × 1,246,149.56
  4. Step 4: Simplify right side
    582,596.30x = 1,552,888,732,118.94
  5. Step 5: Solve for x
    x = 1,552,888,732,118.94/582,596.30
  6. Step 6: Final answer
    x = 2,665,462.76

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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.