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Finding the Third Proportional to 419,814 and 905,958

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Solution

The third proportional to 419,814 and 905,958 is: 1,955,056.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,814 : 905,958 = 905,958 : x
  2. Step 2: Convert to fraction form
    419,814/905,958 = 905,958/x
  3. Step 3: Cross multiply
    419,814x = 905,958 × 905,958
  4. Step 4: Simplify right side
    419,814x = 820,759,897,764
  5. Step 5: Solve for x
    x = 820,759,897,764/419,814
  6. Step 6: Final answer
    x = 1,955,056.04

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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.