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Finding the Third Proportional to 2,102,249 and 3,247,941

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Solution

The third proportional to 2,102,249 and 3,247,941 is: 5,018,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102,249 : 3,247,941 = 3,247,941 : x
  2. Step 2: Convert to fraction form
    2,102,249/3,247,941 = 3,247,941/x
  3. Step 3: Cross multiply
    2,102,249x = 3,247,941 × 3,247,941
  4. Step 4: Simplify right side
    2,102,249x = 10,549,120,739,481
  5. Step 5: Solve for x
    x = 10,549,120,739,481/2,102,249
  6. Step 6: Final answer
    x = 5,018,016.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.