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Finding the Third Proportional to 2,795,704 and 6,114,824

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Solution

The third proportional to 2,795,704 and 6,114,824 is: 13,374,474.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,795,704 : 6,114,824 = 6,114,824 : x
  2. Step 2: Convert to fraction form
    2,795,704/6,114,824 = 6,114,824/x
  3. Step 3: Cross multiply
    2,795,704x = 6,114,824 × 6,114,824
  4. Step 4: Simplify right side
    2,795,704x = 37,391,072,550,976
  5. Step 5: Solve for x
    x = 37,391,072,550,976/2,795,704
  6. Step 6: Final answer
    x = 13,374,474.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.