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Finding the Third Proportional to 2,095,968 and 4,269,012

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Solution

The third proportional to 2,095,968 and 4,269,012 is: 8,695,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,968 : 4,269,012 = 4,269,012 : x
  2. Step 2: Convert to fraction form
    2,095,968/4,269,012 = 4,269,012/x
  3. Step 3: Cross multiply
    2,095,968x = 4,269,012 × 4,269,012
  4. Step 4: Simplify right side
    2,095,968x = 18,224,463,456,144
  5. Step 5: Solve for x
    x = 18,224,463,456,144/2,095,968
  6. Step 6: Final answer
    x = 8,695,010.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.