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Finding the Third Proportional to 426,764 and 919,692

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Solution

The third proportional to 426,764 and 919,692 is: 1,981,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,764 : 919,692 = 919,692 : x
  2. Step 2: Convert to fraction form
    426,764/919,692 = 919,692/x
  3. Step 3: Cross multiply
    426,764x = 919,692 × 919,692
  4. Step 4: Simplify right side
    426,764x = 845,833,374,864
  5. Step 5: Solve for x
    x = 845,833,374,864/426,764
  6. Step 6: Final answer
    x = 1,981,969.84

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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.