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Finding the Third Proportional to 404,871.75 and 886,015.13

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Solution

The third proportional to 404,871.75 and 886,015.13 is: 1,938,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,871.75 : 886,015.13 = 886,015.13 : x
  2. Step 2: Convert to fraction form
    404,871.75/886,015.13 = 886,015.13/x
  3. Step 3: Cross multiply
    404,871.75x = 886,015.13 × 886,015.13
  4. Step 4: Simplify right side
    404,871.75x = 785,022,801,728.77
  5. Step 5: Solve for x
    x = 785,022,801,728.77/404,871.75
  6. Step 6: Final answer
    x = 1,938,941.90

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Why These Related Problems?

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