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Finding the Third Proportional to 2,079,285 and 3,110,421

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Solution

The third proportional to 2,079,285 and 3,110,421 is: 4,652,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079,285 : 3,110,421 = 3,110,421 : x
  2. Step 2: Convert to fraction form
    2,079,285/3,110,421 = 3,110,421/x
  3. Step 3: Cross multiply
    2,079,285x = 3,110,421 × 3,110,421
  4. Step 4: Simplify right side
    2,079,285x = 9,674,718,797,241
  5. Step 5: Solve for x
    x = 9,674,718,797,241/2,079,285
  6. Step 6: Final answer
    x = 4,652,906.55

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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.