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Finding the Third Proportional to 1,286,520 and 1,886,811

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Solution

The third proportional to 1,286,520 and 1,886,811 is: 2,767,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286,520 : 1,886,811 = 1,886,811 : x
  2. Step 2: Convert to fraction form
    1,286,520/1,886,811 = 1,886,811/x
  3. Step 3: Cross multiply
    1,286,520x = 1,886,811 × 1,886,811
  4. Step 4: Simplify right side
    1,286,520x = 3,560,055,749,721
  5. Step 5: Solve for x
    x = 3,560,055,749,721/1,286,520
  6. Step 6: Final answer
    x = 2,767,198.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.