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Finding the Third Proportional to 496,121 and 1,089,442

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Solution

The third proportional to 496,121 and 1,089,442 is: 2,392,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,121 : 1,089,442 = 1,089,442 : x
  2. Step 2: Convert to fraction form
    496,121/1,089,442 = 1,089,442/x
  3. Step 3: Cross multiply
    496,121x = 1,089,442 × 1,089,442
  4. Step 4: Simplify right side
    496,121x = 1,186,883,871,364
  5. Step 5: Solve for x
    x = 1,186,883,871,364/496,121
  6. Step 6: Final answer
    x = 2,392,327.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.