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Finding the Third Proportional to 2,853,211 and 5,806,064

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Solution

The third proportional to 2,853,211 and 5,806,064 is: 11,814,891.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,211 : 5,806,064 = 5,806,064 : x
  2. Step 2: Convert to fraction form
    2,853,211/5,806,064 = 5,806,064/x
  3. Step 3: Cross multiply
    2,853,211x = 5,806,064 × 5,806,064
  4. Step 4: Simplify right side
    2,853,211x = 33,710,379,172,096
  5. Step 5: Solve for x
    x = 33,710,379,172,096/2,853,211
  6. Step 6: Final answer
    x = 11,814,891.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.