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Finding the Third Proportional to 426,956 and 919,886

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Solution

The third proportional to 426,956 and 919,886 is: 1,981,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,956 : 919,886 = 919,886 : x
  2. Step 2: Convert to fraction form
    426,956/919,886 = 919,886/x
  3. Step 3: Cross multiply
    426,956x = 919,886 × 919,886
  4. Step 4: Simplify right side
    426,956x = 846,190,252,996
  5. Step 5: Solve for x
    x = 846,190,252,996/426,956
  6. Step 6: Final answer
    x = 1,981,914.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.