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Finding the Third Proportional to 446,195.25 and 922,394.25

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Solution

The third proportional to 446,195.25 and 922,394.25 is: 1,906,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,195.25 : 922,394.25 = 922,394.25 : x
  2. Step 2: Convert to fraction form
    446,195.25/922,394.25 = 922,394.25/x
  3. Step 3: Cross multiply
    446,195.25x = 922,394.25 × 922,394.25
  4. Step 4: Simplify right side
    446,195.25x = 850,811,152,433.06
  5. Step 5: Solve for x
    x = 850,811,152,433.06/446,195.25
  6. Step 6: Final answer
    x = 1,906,813.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.