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Finding the Third Proportional to 1,022,004 and 2,149,848

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Solution

The third proportional to 1,022,004 and 2,149,848 is: 4,522,336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,004 : 2,149,848 = 2,149,848 : x
  2. Step 2: Convert to fraction form
    1,022,004/2,149,848 = 2,149,848/x
  3. Step 3: Cross multiply
    1,022,004x = 2,149,848 × 2,149,848
  4. Step 4: Simplify right side
    1,022,004x = 4,621,846,423,104
  5. Step 5: Solve for x
    x = 4,621,846,423,104/1,022,004
  6. Step 6: Final answer
    x = 4,522,336.92

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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.