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Finding the Third Proportional to 419,077.13 and 905,114.25

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Solution

The third proportional to 419,077.13 and 905,114.25 is: 1,954,847.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,077.13 : 905,114.25 = 905,114.25 : x
  2. Step 2: Convert to fraction form
    419,077.13/905,114.25 = 905,114.25/x
  3. Step 3: Cross multiply
    419,077.13x = 905,114.25 × 905,114.25
  4. Step 4: Simplify right side
    419,077.13x = 819,231,805,553.06
  5. Step 5: Solve for x
    x = 819,231,805,553.06/419,077.13
  6. Step 6: Final answer
    x = 1,954,847.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.