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Finding the Third Proportional to 714,846 and 1,089,040

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Solution

The third proportional to 714,846 and 1,089,040 is: 1,659,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,846 : 1,089,040 = 1,089,040 : x
  2. Step 2: Convert to fraction form
    714,846/1,089,040 = 1,089,040/x
  3. Step 3: Cross multiply
    714,846x = 1,089,040 × 1,089,040
  4. Step 4: Simplify right side
    714,846x = 1,186,008,121,600
  5. Step 5: Solve for x
    x = 1,186,008,121,600/714,846
  6. Step 6: Final answer
    x = 1,659,109.96

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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.