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Finding the Third Proportional to 494,235.94 and 1,079,110.88

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Solution

The third proportional to 494,235.94 and 1,079,110.88 is: 2,356,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,235.94 : 1,079,110.88 = 1,079,110.88 : x
  2. Step 2: Convert to fraction form
    494,235.94/1,079,110.88 = 1,079,110.88/x
  3. Step 3: Cross multiply
    494,235.94x = 1,079,110.88 × 1,079,110.88
  4. Step 4: Simplify right side
    494,235.94x = 1,164,480,280,543.27
  5. Step 5: Solve for x
    x = 1,164,480,280,543.27/494,235.94
  6. Step 6: Final answer
    x = 2,356,122.23

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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.