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Finding the Third Proportional to 494,228.25 and 1,079,079.47

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Solution

The third proportional to 494,228.25 and 1,079,079.47 is: 2,356,021.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,228.25 : 1,079,079.47 = 1,079,079.47 : x
  2. Step 2: Convert to fraction form
    494,228.25/1,079,079.47 = 1,079,079.47/x
  3. Step 3: Cross multiply
    494,228.25x = 1,079,079.47 × 1,079,079.47
  4. Step 4: Simplify right side
    494,228.25x = 1,164,412,499,877.78
  5. Step 5: Solve for x
    x = 1,164,412,499,877.78/494,228.25
  6. Step 6: Final answer
    x = 2,356,021.74

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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.