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Finding the Third Proportional to 714,845.50 and 1,089,039

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Solution

The third proportional to 714,845.50 and 1,089,039 is: 1,659,108.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,845.50 : 1,089,039 = 1,089,039 : x
  2. Step 2: Convert to fraction form
    714,845.50/1,089,039 = 1,089,039/x
  3. Step 3: Cross multiply
    714,845.50x = 1,089,039 × 1,089,039
  4. Step 4: Simplify right side
    714,845.50x = 1,186,005,943,521
  5. Step 5: Solve for x
    x = 1,186,005,943,521/714,845.50
  6. Step 6: Final answer
    x = 1,659,108.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.