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Finding the Third Proportional to 494,867 and 746,909

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Solution

The third proportional to 494,867 and 746,909 is: 1,127,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,867 : 746,909 = 746,909 : x
  2. Step 2: Convert to fraction form
    494,867/746,909 = 746,909/x
  3. Step 3: Cross multiply
    494,867x = 746,909 × 746,909
  4. Step 4: Simplify right side
    494,867x = 557,873,054,281
  5. Step 5: Solve for x
    x = 557,873,054,281/494,867
  6. Step 6: Final answer
    x = 1,127,319.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.