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Finding the Third Proportional to 1,015,114 and 2,257,189

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Solution

The third proportional to 1,015,114 and 2,257,189 is: 5,019,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,114 : 2,257,189 = 2,257,189 : x
  2. Step 2: Convert to fraction form
    1,015,114/2,257,189 = 2,257,189/x
  3. Step 3: Cross multiply
    1,015,114x = 2,257,189 × 2,257,189
  4. Step 4: Simplify right side
    1,015,114x = 5,094,902,181,721
  5. Step 5: Solve for x
    x = 5,094,902,181,721/1,015,114
  6. Step 6: Final answer
    x = 5,019,044.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.