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Finding the Third Proportional to 494,296 and 1,079,200

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Solution

The third proportional to 494,296 and 1,079,200 is: 2,356,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,296 : 1,079,200 = 1,079,200 : x
  2. Step 2: Convert to fraction form
    494,296/1,079,200 = 1,079,200/x
  3. Step 3: Cross multiply
    494,296x = 1,079,200 × 1,079,200
  4. Step 4: Simplify right side
    494,296x = 1,164,672,640,000
  5. Step 5: Solve for x
    x = 1,164,672,640,000/494,296
  6. Step 6: Final answer
    x = 2,356,225.10

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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.