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Finding the Third Proportional to 1,027,004 and 2,085,112

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Solution

The third proportional to 1,027,004 and 2,085,112 is: 4,233,374.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,004 : 2,085,112 = 2,085,112 : x
  2. Step 2: Convert to fraction form
    1,027,004/2,085,112 = 2,085,112/x
  3. Step 3: Cross multiply
    1,027,004x = 2,085,112 × 2,085,112
  4. Step 4: Simplify right side
    1,027,004x = 4,347,692,052,544
  5. Step 5: Solve for x
    x = 4,347,692,052,544/1,027,004
  6. Step 6: Final answer
    x = 4,233,374.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.