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Finding the Third Proportional to 404,676 and 886,443.75

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Solution

The third proportional to 404,676 and 886,443.75 is: 1,941,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,676 : 886,443.75 = 886,443.75 : x
  2. Step 2: Convert to fraction form
    404,676/886,443.75 = 886,443.75/x
  3. Step 3: Cross multiply
    404,676x = 886,443.75 × 886,443.75
  4. Step 4: Simplify right side
    404,676x = 785,782,521,914.06
  5. Step 5: Solve for x
    x = 785,782,521,914.06/404,676
  6. Step 6: Final answer
    x = 1,941,757.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.