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Finding the Third Proportional to 421,252 and 927,896

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Solution

The third proportional to 421,252 and 927,896 is: 2,043,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,252 : 927,896 = 927,896 : x
  2. Step 2: Convert to fraction form
    421,252/927,896 = 927,896/x
  3. Step 3: Cross multiply
    421,252x = 927,896 × 927,896
  4. Step 4: Simplify right side
    421,252x = 860,990,986,816
  5. Step 5: Solve for x
    x = 860,990,986,816/421,252
  6. Step 6: Final answer
    x = 2,043,885.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.