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Finding the Third Proportional to 725,820 and 1,089,456

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Solution

The third proportional to 725,820 and 1,089,456 is: 1,635,273.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,820 : 1,089,456 = 1,089,456 : x
  2. Step 2: Convert to fraction form
    725,820/1,089,456 = 1,089,456/x
  3. Step 3: Cross multiply
    725,820x = 1,089,456 × 1,089,456
  4. Step 4: Simplify right side
    725,820x = 1,186,914,375,936
  5. Step 5: Solve for x
    x = 1,186,914,375,936/725,820
  6. Step 6: Final answer
    x = 1,635,273.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.