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Finding the Third Proportional to 445,867 and 907,245

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Solution

The third proportional to 445,867 and 907,245 is: 1,846,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,867 : 907,245 = 907,245 : x
  2. Step 2: Convert to fraction form
    445,867/907,245 = 907,245/x
  3. Step 3: Cross multiply
    445,867x = 907,245 × 907,245
  4. Step 4: Simplify right side
    445,867x = 823,093,490,025
  5. Step 5: Solve for x
    x = 823,093,490,025/445,867
  6. Step 6: Final answer
    x = 1,846,051.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.