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Finding the Third Proportional to 522,288 and 1,089,984

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Solution

The third proportional to 522,288 and 1,089,984 is: 2,274,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,288 : 1,089,984 = 1,089,984 : x
  2. Step 2: Convert to fraction form
    522,288/1,089,984 = 1,089,984/x
  3. Step 3: Cross multiply
    522,288x = 1,089,984 × 1,089,984
  4. Step 4: Simplify right side
    522,288x = 1,188,065,120,256
  5. Step 5: Solve for x
    x = 1,188,065,120,256/522,288
  6. Step 6: Final answer
    x = 2,274,731.80

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.