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Finding the Third Proportional to 1,950,736 and 2,784,176

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Solution

The third proportional to 1,950,736 and 2,784,176 is: 3,973,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950,736 : 2,784,176 = 2,784,176 : x
  2. Step 2: Convert to fraction form
    1,950,736/2,784,176 = 2,784,176/x
  3. Step 3: Cross multiply
    1,950,736x = 2,784,176 × 2,784,176
  4. Step 4: Simplify right side
    1,950,736x = 7,751,635,998,976
  5. Step 5: Solve for x
    x = 7,751,635,998,976/1,950,736
  6. Step 6: Final answer
    x = 3,973,698.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.