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Finding the Third Proportional to 1,462,018 and 2,193,019

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Solution

The third proportional to 1,462,018 and 2,193,019 is: 3,289,516.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,018 : 2,193,019 = 2,193,019 : x
  2. Step 2: Convert to fraction form
    1,462,018/2,193,019 = 2,193,019/x
  3. Step 3: Cross multiply
    1,462,018x = 2,193,019 × 2,193,019
  4. Step 4: Simplify right side
    1,462,018x = 4,809,332,334,361
  5. Step 5: Solve for x
    x = 4,809,332,334,361/1,462,018
  6. Step 6: Final answer
    x = 3,289,516.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.