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Finding the Third Proportional to 1,338,932 and 2,786,161

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Solution

The third proportional to 1,338,932 and 2,786,161 is: 5,797,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338,932 : 2,786,161 = 2,786,161 : x
  2. Step 2: Convert to fraction form
    1,338,932/2,786,161 = 2,786,161/x
  3. Step 3: Cross multiply
    1,338,932x = 2,786,161 × 2,786,161
  4. Step 4: Simplify right side
    1,338,932x = 7,762,693,117,921
  5. Step 5: Solve for x
    x = 7,762,693,117,921/1,338,932
  6. Step 6: Final answer
    x = 5,797,675.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.