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Finding the Third Proportional to 1,285,674 and 2,764,837

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Solution

The third proportional to 1,285,674 and 2,764,837 is: 5,945,771.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,674 : 2,764,837 = 2,764,837 : x
  2. Step 2: Convert to fraction form
    1,285,674/2,764,837 = 2,764,837/x
  3. Step 3: Cross multiply
    1,285,674x = 2,764,837 × 2,764,837
  4. Step 4: Simplify right side
    1,285,674x = 7,644,323,636,569
  5. Step 5: Solve for x
    x = 7,644,323,636,569/1,285,674
  6. Step 6: Final answer
    x = 5,945,771.35

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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.