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Finding the Third Proportional to 1,084,028 and 2,290,150

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Solution

The third proportional to 1,084,028 and 2,290,150 is: 4,838,239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,028 : 2,290,150 = 2,290,150 : x
  2. Step 2: Convert to fraction form
    1,084,028/2,290,150 = 2,290,150/x
  3. Step 3: Cross multiply
    1,084,028x = 2,290,150 × 2,290,150
  4. Step 4: Simplify right side
    1,084,028x = 5,244,787,022,500
  5. Step 5: Solve for x
    x = 5,244,787,022,500/1,084,028
  6. Step 6: Final answer
    x = 4,838,239.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.