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Finding the Third Proportional to 446,096 and 913,936

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Solution

The third proportional to 446,096 and 913,936 is: 1,872,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,096 : 913,936 = 913,936 : x
  2. Step 2: Convert to fraction form
    446,096/913,936 = 913,936/x
  3. Step 3: Cross multiply
    446,096x = 913,936 × 913,936
  4. Step 4: Simplify right side
    446,096x = 835,279,012,096
  5. Step 5: Solve for x
    x = 835,279,012,096/446,096
  6. Step 6: Final answer
    x = 1,872,419.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.