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Finding the Third Proportional to 2,422,989 and 5,097,114

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Solution

The third proportional to 2,422,989 and 5,097,114 is: 10,722,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422,989 : 5,097,114 = 5,097,114 : x
  2. Step 2: Convert to fraction form
    2,422,989/5,097,114 = 5,097,114/x
  3. Step 3: Cross multiply
    2,422,989x = 5,097,114 × 5,097,114
  4. Step 4: Simplify right side
    2,422,989x = 25,980,571,128,996
  5. Step 5: Solve for x
    x = 25,980,571,128,996/2,422,989
  6. Step 6: Final answer
    x = 10,722,529.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.