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Finding the Third Proportional to 2,829,041 and 5,788,815

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Solution

The third proportional to 2,829,041 and 5,788,815 is: 11,845,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,041 : 5,788,815 = 5,788,815 : x
  2. Step 2: Convert to fraction form
    2,829,041/5,788,815 = 5,788,815/x
  3. Step 3: Cross multiply
    2,829,041x = 5,788,815 × 5,788,815
  4. Step 4: Simplify right side
    2,829,041x = 33,510,379,104,225
  5. Step 5: Solve for x
    x = 33,510,379,104,225/2,829,041
  6. Step 6: Final answer
    x = 11,845,137.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.