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Finding the Third Proportional to 554,933 and 830,874

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Solution

The third proportional to 554,933 and 830,874 is: 1,244,026.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,933 : 830,874 = 830,874 : x
  2. Step 2: Convert to fraction form
    554,933/830,874 = 830,874/x
  3. Step 3: Cross multiply
    554,933x = 830,874 × 830,874
  4. Step 4: Simplify right side
    554,933x = 690,351,603,876
  5. Step 5: Solve for x
    x = 690,351,603,876/554,933
  6. Step 6: Final answer
    x = 1,244,026.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.