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Finding the Third Proportional to 447,041 and 958,001

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Solution

The third proportional to 447,041 and 958,001 is: 2,052,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,041 : 958,001 = 958,001 : x
  2. Step 2: Convert to fraction form
    447,041/958,001 = 958,001/x
  3. Step 3: Cross multiply
    447,041x = 958,001 × 958,001
  4. Step 4: Simplify right side
    447,041x = 917,765,916,001
  5. Step 5: Solve for x
    x = 917,765,916,001/447,041
  6. Step 6: Final answer
    x = 2,052,979.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.