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Finding the Third Proportional to 496,119 and 1,089,438

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Solution

The third proportional to 496,119 and 1,089,438 is: 2,392,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,119 : 1,089,438 = 1,089,438 : x
  2. Step 2: Convert to fraction form
    496,119/1,089,438 = 1,089,438/x
  3. Step 3: Cross multiply
    496,119x = 1,089,438 × 1,089,438
  4. Step 4: Simplify right side
    496,119x = 1,186,875,155,844
  5. Step 5: Solve for x
    x = 1,186,875,155,844/496,119
  6. Step 6: Final answer
    x = 2,392,319.50

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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.