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Finding the Third Proportional to 496,116 and 1,089,432

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Solution

The third proportional to 496,116 and 1,089,432 is: 2,392,307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,116 : 1,089,432 = 1,089,432 : x
  2. Step 2: Convert to fraction form
    496,116/1,089,432 = 1,089,432/x
  3. Step 3: Cross multiply
    496,116x = 1,089,432 × 1,089,432
  4. Step 4: Simplify right side
    496,116x = 1,186,862,082,624
  5. Step 5: Solve for x
    x = 1,186,862,082,624/496,116
  6. Step 6: Final answer
    x = 2,392,307.61

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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.