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Finding the Third Proportional to 1,296,738 and 2,083,497

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Solution

The third proportional to 1,296,738 and 2,083,497 is: 3,347,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,738 : 2,083,497 = 2,083,497 : x
  2. Step 2: Convert to fraction form
    1,296,738/2,083,497 = 2,083,497/x
  3. Step 3: Cross multiply
    1,296,738x = 2,083,497 × 2,083,497
  4. Step 4: Simplify right side
    1,296,738x = 4,340,959,749,009
  5. Step 5: Solve for x
    x = 4,340,959,749,009/1,296,738
  6. Step 6: Final answer
    x = 3,347,599.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.