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Finding the Third Proportional to 2,219,096 and 4,780,012

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Solution

The third proportional to 2,219,096 and 4,780,012 is: 10,296,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,096 : 4,780,012 = 4,780,012 : x
  2. Step 2: Convert to fraction form
    2,219,096/4,780,012 = 4,780,012/x
  3. Step 3: Cross multiply
    2,219,096x = 4,780,012 × 4,780,012
  4. Step 4: Simplify right side
    2,219,096x = 22,848,514,720,144
  5. Step 5: Solve for x
    x = 22,848,514,720,144/2,219,096
  6. Step 6: Final answer
    x = 10,296,316.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.