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Finding the Third Proportional to 419,195 and 905,094

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Solution

The third proportional to 419,195 and 905,094 is: 1,954,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,195 : 905,094 = 905,094 : x
  2. Step 2: Convert to fraction form
    419,195/905,094 = 905,094/x
  3. Step 3: Cross multiply
    419,195x = 905,094 × 905,094
  4. Step 4: Simplify right side
    419,195x = 819,195,148,836
  5. Step 5: Solve for x
    x = 819,195,148,836/419,195
  6. Step 6: Final answer
    x = 1,954,210.21

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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.