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Finding the Third Proportional to 419,076 and 905,112

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Solution

The third proportional to 419,076 and 905,112 is: 1,954,842.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,076 : 905,112 = 905,112 : x
  2. Step 2: Convert to fraction form
    419,076/905,112 = 905,112/x
  3. Step 3: Cross multiply
    419,076x = 905,112 × 905,112
  4. Step 4: Simplify right side
    419,076x = 819,227,732,544
  5. Step 5: Solve for x
    x = 819,227,732,544/419,076
  6. Step 6: Final answer
    x = 1,954,842.87

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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.