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Finding the Third Proportional to 1,026,999 and 2,085,102

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Solution

The third proportional to 1,026,999 and 2,085,102 is: 4,233,354.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,999 : 2,085,102 = 2,085,102 : x
  2. Step 2: Convert to fraction form
    1,026,999/2,085,102 = 2,085,102/x
  3. Step 3: Cross multiply
    1,026,999x = 2,085,102 × 2,085,102
  4. Step 4: Simplify right side
    1,026,999x = 4,347,650,350,404
  5. Step 5: Solve for x
    x = 4,347,650,350,404/1,026,999
  6. Step 6: Final answer
    x = 4,233,354.03

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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.