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Finding the Third Proportional to 605,866 and 1,274,406

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Solution

The third proportional to 605,866 and 1,274,406 is: 2,680,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,866 : 1,274,406 = 1,274,406 : x
  2. Step 2: Convert to fraction form
    605,866/1,274,406 = 1,274,406/x
  3. Step 3: Cross multiply
    605,866x = 1,274,406 × 1,274,406
  4. Step 4: Simplify right side
    605,866x = 1,624,110,652,836
  5. Step 5: Solve for x
    x = 1,624,110,652,836/605,866
  6. Step 6: Final answer
    x = 2,680,643.33

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.