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Finding the Third Proportional to 1,102,191 and 1,560,027

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Solution

The third proportional to 1,102,191 and 1,560,027 is: 2,208,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,191 : 1,560,027 = 1,560,027 : x
  2. Step 2: Convert to fraction form
    1,102,191/1,560,027 = 1,560,027/x
  3. Step 3: Cross multiply
    1,102,191x = 1,560,027 × 1,560,027
  4. Step 4: Simplify right side
    1,102,191x = 2,433,684,240,729
  5. Step 5: Solve for x
    x = 2,433,684,240,729/1,102,191
  6. Step 6: Final answer
    x = 2,208,042.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.