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Finding the Third Proportional to 804,949 and 1,089,324

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Solution

The third proportional to 804,949 and 1,089,324 is: 1,474,163.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,949 : 1,089,324 = 1,089,324 : x
  2. Step 2: Convert to fraction form
    804,949/1,089,324 = 1,089,324/x
  3. Step 3: Cross multiply
    804,949x = 1,089,324 × 1,089,324
  4. Step 4: Simplify right side
    804,949x = 1,186,626,776,976
  5. Step 5: Solve for x
    x = 1,186,626,776,976/804,949
  6. Step 6: Final answer
    x = 1,474,163.92

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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.