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Finding the Third Proportional to 404,896 and 886,064

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Solution

The third proportional to 404,896 and 886,064 is: 1,939,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,896 : 886,064 = 886,064 : x
  2. Step 2: Convert to fraction form
    404,896/886,064 = 886,064/x
  3. Step 3: Cross multiply
    404,896x = 886,064 × 886,064
  4. Step 4: Simplify right side
    404,896x = 785,109,412,096
  5. Step 5: Solve for x
    x = 785,109,412,096/404,896
  6. Step 6: Final answer
    x = 1,939,039.68

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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.