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Finding the Third Proportional to 1,289,105 and 2,764,738

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Solution

The third proportional to 1,289,105 and 2,764,738 is: 5,929,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,105 : 2,764,738 = 2,764,738 : x
  2. Step 2: Convert to fraction form
    1,289,105/2,764,738 = 2,764,738/x
  3. Step 3: Cross multiply
    1,289,105x = 2,764,738 × 2,764,738
  4. Step 4: Simplify right side
    1,289,105x = 7,643,776,208,644
  5. Step 5: Solve for x
    x = 7,643,776,208,644/1,289,105
  6. Step 6: Final answer
    x = 5,929,521.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.