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Finding the Third Proportional to 446,100 and 913,944

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Solution

The third proportional to 446,100 and 913,944 is: 1,872,435.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,100 : 913,944 = 913,944 : x
  2. Step 2: Convert to fraction form
    446,100/913,944 = 913,944/x
  3. Step 3: Cross multiply
    446,100x = 913,944 × 913,944
  4. Step 4: Simplify right side
    446,100x = 835,293,635,136
  5. Step 5: Solve for x
    x = 835,293,635,136/446,100
  6. Step 6: Final answer
    x = 1,872,435.86

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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.