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Finding the Third Proportional to 449,993 and 978,718

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Solution

The third proportional to 449,993 and 978,718 is: 2,128,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,993 : 978,718 = 978,718 : x
  2. Step 2: Convert to fraction form
    449,993/978,718 = 978,718/x
  3. Step 3: Cross multiply
    449,993x = 978,718 × 978,718
  4. Step 4: Simplify right side
    449,993x = 957,888,923,524
  5. Step 5: Solve for x
    x = 957,888,923,524/449,993
  6. Step 6: Final answer
    x = 2,128,675.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.