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Finding the Third Proportional to 1,141,285 and 2,699,013

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Solution

The third proportional to 1,141,285 and 2,699,013 is: 6,382,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141,285 : 2,699,013 = 2,699,013 : x
  2. Step 2: Convert to fraction form
    1,141,285/2,699,013 = 2,699,013/x
  3. Step 3: Cross multiply
    1,141,285x = 2,699,013 × 2,699,013
  4. Step 4: Simplify right side
    1,141,285x = 7,284,671,174,169
  5. Step 5: Solve for x
    x = 7,284,671,174,169/1,141,285
  6. Step 6: Final answer
    x = 6,382,867.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.