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Finding the Third Proportional to 448,906 and 985,041

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Solution

The third proportional to 448,906 and 985,041 is: 2,161,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,906 : 985,041 = 985,041 : x
  2. Step 2: Convert to fraction form
    448,906/985,041 = 985,041/x
  3. Step 3: Cross multiply
    448,906x = 985,041 × 985,041
  4. Step 4: Simplify right side
    448,906x = 970,305,771,681
  5. Step 5: Solve for x
    x = 970,305,771,681/448,906
  6. Step 6: Final answer
    x = 2,161,489.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.