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Finding the Third Proportional to 449,568 and 940,698

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Solution

The third proportional to 449,568 and 940,698 is: 1,968,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,568 : 940,698 = 940,698 : x
  2. Step 2: Convert to fraction form
    449,568/940,698 = 940,698/x
  3. Step 3: Cross multiply
    449,568x = 940,698 × 940,698
  4. Step 4: Simplify right side
    449,568x = 884,912,727,204
  5. Step 5: Solve for x
    x = 884,912,727,204/449,568
  6. Step 6: Final answer
    x = 1,968,362.35

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.