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Finding the Third Proportional to 2,405,722 and 4,981,969

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Solution

The third proportional to 2,405,722 and 4,981,969 is: 10,317,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405,722 : 4,981,969 = 4,981,969 : x
  2. Step 2: Convert to fraction form
    2,405,722/4,981,969 = 4,981,969/x
  3. Step 3: Cross multiply
    2,405,722x = 4,981,969 × 4,981,969
  4. Step 4: Simplify right side
    2,405,722x = 24,820,015,116,961
  5. Step 5: Solve for x
    x = 24,820,015,116,961/2,405,722
  6. Step 6: Final answer
    x = 10,317,075.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.