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Finding the Third Proportional to 505,448 and 1,089,232

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Solution

The third proportional to 505,448 and 1,089,232 is: 2,347,276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,448 : 1,089,232 = 1,089,232 : x
  2. Step 2: Convert to fraction form
    505,448/1,089,232 = 1,089,232/x
  3. Step 3: Cross multiply
    505,448x = 1,089,232 × 1,089,232
  4. Step 4: Simplify right side
    505,448x = 1,186,426,349,824
  5. Step 5: Solve for x
    x = 1,186,426,349,824/505,448
  6. Step 6: Final answer
    x = 2,347,276.77

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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.