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Finding the Third Proportional to 494,226.56 and 1,079,076.94

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Solution

The third proportional to 494,226.56 and 1,079,076.94 is: 2,356,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,226.56 : 1,079,076.94 = 1,079,076.94 : x
  2. Step 2: Convert to fraction form
    494,226.56/1,079,076.94 = 1,079,076.94/x
  3. Step 3: Cross multiply
    494,226.56x = 1,079,076.94 × 1,079,076.94
  4. Step 4: Simplify right side
    494,226.56x = 1,164,407,037,044.38
  5. Step 5: Solve for x
    x = 1,164,407,037,044.38/494,226.56
  6. Step 6: Final answer
    x = 2,356,018.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.