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Finding the Third Proportional to 494,290 and 1,078,793

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Solution

The third proportional to 494,290 and 1,078,793 is: 2,354,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,290 : 1,078,793 = 1,078,793 : x
  2. Step 2: Convert to fraction form
    494,290/1,078,793 = 1,078,793/x
  3. Step 3: Cross multiply
    494,290x = 1,078,793 × 1,078,793
  4. Step 4: Simplify right side
    494,290x = 1,163,794,336,849
  5. Step 5: Solve for x
    x = 1,163,794,336,849/494,290
  6. Step 6: Final answer
    x = 2,354,476.80

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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.