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Finding the Third Proportional to 416,032 and 894,302

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Solution

The third proportional to 416,032 and 894,302 is: 1,922,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,032 : 894,302 = 894,302 : x
  2. Step 2: Convert to fraction form
    416,032/894,302 = 894,302/x
  3. Step 3: Cross multiply
    416,032x = 894,302 × 894,302
  4. Step 4: Simplify right side
    416,032x = 799,776,067,204
  5. Step 5: Solve for x
    x = 799,776,067,204/416,032
  6. Step 6: Final answer
    x = 1,922,390.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.