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Finding the Third Proportional to 419,628 and 905,595

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Solution

The third proportional to 419,628 and 905,595 is: 1,954,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,628 : 905,595 = 905,595 : x
  2. Step 2: Convert to fraction form
    419,628/905,595 = 905,595/x
  3. Step 3: Cross multiply
    419,628x = 905,595 × 905,595
  4. Step 4: Simplify right side
    419,628x = 820,102,304,025
  5. Step 5: Solve for x
    x = 820,102,304,025/419,628
  6. Step 6: Final answer
    x = 1,954,355.53

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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.