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Finding the Third Proportional to 804,944.25 and 1,089,318.38

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Solution

The third proportional to 804,944.25 and 1,089,318.38 is: 1,474,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,944.25 : 1,089,318.38 = 1,089,318.38 : x
  2. Step 2: Convert to fraction form
    804,944.25/1,089,318.38 = 1,089,318.38/x
  3. Step 3: Cross multiply
    804,944.25x = 1,089,318.38 × 1,089,318.38
  4. Step 4: Simplify right side
    804,944.25x = 1,186,614,522,112.64
  5. Step 5: Solve for x
    x = 1,186,614,522,112.64/804,944.25
  6. Step 6: Final answer
    x = 1,474,157.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.