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Finding the Third Proportional to 419,844 and 887,112

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Solution

The third proportional to 419,844 and 887,112 is: 1,874,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,844 : 887,112 = 887,112 : x
  2. Step 2: Convert to fraction form
    419,844/887,112 = 887,112/x
  3. Step 3: Cross multiply
    419,844x = 887,112 × 887,112
  4. Step 4: Simplify right side
    419,844x = 786,967,700,544
  5. Step 5: Solve for x
    x = 786,967,700,544/419,844
  6. Step 6: Final answer
    x = 1,874,428.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.