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Finding the Third Proportional to 777,669.75 and 1,190,184.75

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Solution

The third proportional to 777,669.75 and 1,190,184.75 is: 1,821,518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,669.75 : 1,190,184.75 = 1,190,184.75 : x
  2. Step 2: Convert to fraction form
    777,669.75/1,190,184.75 = 1,190,184.75/x
  3. Step 3: Cross multiply
    777,669.75x = 1,190,184.75 × 1,190,184.75
  4. Step 4: Simplify right side
    777,669.75x = 1,416,539,739,132.56
  5. Step 5: Solve for x
    x = 1,416,539,739,132.56/777,669.75
  6. Step 6: Final answer
    x = 1,821,518.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.