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Finding the Third Proportional to 1,336,824 and 2,783,806

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Solution

The third proportional to 1,336,824 and 2,783,806 is: 5,797,005.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336,824 : 2,783,806 = 2,783,806 : x
  2. Step 2: Convert to fraction form
    1,336,824/2,783,806 = 2,783,806/x
  3. Step 3: Cross multiply
    1,336,824x = 2,783,806 × 2,783,806
  4. Step 4: Simplify right side
    1,336,824x = 7,749,575,845,636
  5. Step 5: Solve for x
    x = 7,749,575,845,636/1,336,824
  6. Step 6: Final answer
    x = 5,797,005.32

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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.