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Finding the Third Proportional to 407,277 and 894,847

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Solution

The third proportional to 407,277 and 894,847 is: 1,966,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,277 : 894,847 = 894,847 : x
  2. Step 2: Convert to fraction form
    407,277/894,847 = 894,847/x
  3. Step 3: Cross multiply
    407,277x = 894,847 × 894,847
  4. Step 4: Simplify right side
    407,277x = 800,751,153,409
  5. Step 5: Solve for x
    x = 800,751,153,409/407,277
  6. Step 6: Final answer
    x = 1,966,109.44

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.