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Finding the Third Proportional to 2,147,094 and 4,679,991

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Solution

The third proportional to 2,147,094 and 4,679,991 is: 10,200,911.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147,094 : 4,679,991 = 4,679,991 : x
  2. Step 2: Convert to fraction form
    2,147,094/4,679,991 = 4,679,991/x
  3. Step 3: Cross multiply
    2,147,094x = 4,679,991 × 4,679,991
  4. Step 4: Simplify right side
    2,147,094x = 21,902,315,760,081
  5. Step 5: Solve for x
    x = 21,902,315,760,081/2,147,094
  6. Step 6: Final answer
    x = 10,200,911.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.