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Finding the Third Proportional to 2,794,097 and 6,111,247

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Solution

The third proportional to 2,794,097 and 6,111,247 is: 13,366,515.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794,097 : 6,111,247 = 6,111,247 : x
  2. Step 2: Convert to fraction form
    2,794,097/6,111,247 = 6,111,247/x
  3. Step 3: Cross multiply
    2,794,097x = 6,111,247 × 6,111,247
  4. Step 4: Simplify right side
    2,794,097x = 37,347,339,895,009
  5. Step 5: Solve for x
    x = 37,347,339,895,009/2,794,097
  6. Step 6: Final answer
    x = 13,366,515.15

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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.