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Finding the Third Proportional to 414,948 and 845,104

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Solution

The third proportional to 414,948 and 845,104 is: 1,721,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,948 : 845,104 = 845,104 : x
  2. Step 2: Convert to fraction form
    414,948/845,104 = 845,104/x
  3. Step 3: Cross multiply
    414,948x = 845,104 × 845,104
  4. Step 4: Simplify right side
    414,948x = 714,200,770,816
  5. Step 5: Solve for x
    x = 714,200,770,816/414,948
  6. Step 6: Final answer
    x = 1,721,181.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.