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Finding the Third Proportional to 1,138,185 and 2,380,914

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Solution

The third proportional to 1,138,185 and 2,380,914 is: 4,980,518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,185 : 2,380,914 = 2,380,914 : x
  2. Step 2: Convert to fraction form
    1,138,185/2,380,914 = 2,380,914/x
  3. Step 3: Cross multiply
    1,138,185x = 2,380,914 × 2,380,914
  4. Step 4: Simplify right side
    1,138,185x = 5,668,751,475,396
  5. Step 5: Solve for x
    x = 5,668,751,475,396/1,138,185
  6. Step 6: Final answer
    x = 4,980,518.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.