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Finding the Third Proportional to 1,002,059 and 2,145,997

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Solution

The third proportional to 1,002,059 and 2,145,997 is: 4,595,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,059 : 2,145,997 = 2,145,997 : x
  2. Step 2: Convert to fraction form
    1,002,059/2,145,997 = 2,145,997/x
  3. Step 3: Cross multiply
    1,002,059x = 2,145,997 × 2,145,997
  4. Step 4: Simplify right side
    1,002,059x = 4,605,303,124,009
  5. Step 5: Solve for x
    x = 4,605,303,124,009/1,002,059
  6. Step 6: Final answer
    x = 4,595,840.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.