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Finding the Third Proportional to 804,896 and 1,089,246

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Solution

The third proportional to 804,896 and 1,089,246 is: 1,474,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,896 : 1,089,246 = 1,089,246 : x
  2. Step 2: Convert to fraction form
    804,896/1,089,246 = 1,089,246/x
  3. Step 3: Cross multiply
    804,896x = 1,089,246 × 1,089,246
  4. Step 4: Simplify right side
    804,896x = 1,186,456,848,516
  5. Step 5: Solve for x
    x = 1,186,456,848,516/804,896
  6. Step 6: Final answer
    x = 1,474,049.88

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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.