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Finding the Third Proportional to 1,203,939 and 1,650,894

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Solution

The third proportional to 1,203,939 and 1,650,894 is: 2,263,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,939 : 1,650,894 = 1,650,894 : x
  2. Step 2: Convert to fraction form
    1,203,939/1,650,894 = 1,650,894/x
  3. Step 3: Cross multiply
    1,203,939x = 1,650,894 × 1,650,894
  4. Step 4: Simplify right side
    1,203,939x = 2,725,450,999,236
  5. Step 5: Solve for x
    x = 2,725,450,999,236/1,203,939
  6. Step 6: Final answer
    x = 2,263,778.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.