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Finding the Third Proportional to 505,466 and 1,089,268

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Solution

The third proportional to 505,466 and 1,089,268 is: 2,347,348.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,466 : 1,089,268 = 1,089,268 : x
  2. Step 2: Convert to fraction form
    505,466/1,089,268 = 1,089,268/x
  3. Step 3: Cross multiply
    505,466x = 1,089,268 × 1,089,268
  4. Step 4: Simplify right side
    505,466x = 1,186,504,775,824
  5. Step 5: Solve for x
    x = 1,186,504,775,824/505,466
  6. Step 6: Final answer
    x = 2,347,348.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.