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Finding the Third Proportional to 446,385.94 and 992,093.06

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Solution

The third proportional to 446,385.94 and 992,093.06 is: 2,204,927.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,385.94 : 992,093.06 = 992,093.06 : x
  2. Step 2: Convert to fraction form
    446,385.94/992,093.06 = 992,093.06/x
  3. Step 3: Cross multiply
    446,385.94x = 992,093.06 × 992,093.06
  4. Step 4: Simplify right side
    446,385.94x = 984,248,644,660.63
  5. Step 5: Solve for x
    x = 984,248,644,660.63/446,385.94
  6. Step 6: Final answer
    x = 2,204,927.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.