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Finding the Third Proportional to 1,296,723 and 2,083,485

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Solution

The third proportional to 1,296,723 and 2,083,485 is: 3,347,599.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,723 : 2,083,485 = 2,083,485 : x
  2. Step 2: Convert to fraction form
    1,296,723/2,083,485 = 2,083,485/x
  3. Step 3: Cross multiply
    1,296,723x = 2,083,485 × 2,083,485
  4. Step 4: Simplify right side
    1,296,723x = 4,340,909,745,225
  5. Step 5: Solve for x
    x = 4,340,909,745,225/1,296,723
  6. Step 6: Final answer
    x = 3,347,599.87

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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.