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Finding the Third Proportional to 747,976.78 and 1,089,262.69

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Solution

The third proportional to 747,976.78 and 1,089,262.69 is: 1,586,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,976.78 : 1,089,262.69 = 1,089,262.69 : x
  2. Step 2: Convert to fraction form
    747,976.78/1,089,262.69 = 1,089,262.69/x
  3. Step 3: Cross multiply
    747,976.78x = 1,089,262.69 × 1,089,262.69
  4. Step 4: Simplify right side
    747,976.78x = 1,186,493,202,379.72
  5. Step 5: Solve for x
    x = 1,186,493,202,379.72/747,976.78
  6. Step 6: Final answer
    x = 1,586,270.10

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.