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Finding the Third Proportional to 1,027,116 and 2,290,266

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Solution

The third proportional to 1,027,116 and 2,290,266 is: 5,106,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,116 : 2,290,266 = 2,290,266 : x
  2. Step 2: Convert to fraction form
    1,027,116/2,290,266 = 2,290,266/x
  3. Step 3: Cross multiply
    1,027,116x = 2,290,266 × 2,290,266
  4. Step 4: Simplify right side
    1,027,116x = 5,245,318,350,756
  5. Step 5: Solve for x
    x = 5,245,318,350,756/1,027,116
  6. Step 6: Final answer
    x = 5,106,841.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.