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Finding the Third Proportional to 447,039 and 957,997.13

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Solution

The third proportional to 447,039 and 957,997.13 is: 2,052,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,039 : 957,997.13 = 957,997.13 : x
  2. Step 2: Convert to fraction form
    447,039/957,997.13 = 957,997.13/x
  3. Step 3: Cross multiply
    447,039x = 957,997.13 × 957,997.13
  4. Step 4: Simplify right side
    447,039x = 917,758,491,508.27
  5. Step 5: Solve for x
    x = 917,758,491,508.27/447,039
  6. Step 6: Final answer
    x = 2,052,971.87

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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.