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Finding the Third Proportional to 1,296,736 and 2,083,506

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Solution

The third proportional to 1,296,736 and 2,083,506 is: 3,347,633.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,736 : 2,083,506 = 2,083,506 : x
  2. Step 2: Convert to fraction form
    1,296,736/2,083,506 = 2,083,506/x
  3. Step 3: Cross multiply
    1,296,736x = 2,083,506 × 2,083,506
  4. Step 4: Simplify right side
    1,296,736x = 4,340,997,252,036
  5. Step 5: Solve for x
    x = 4,340,997,252,036/1,296,736
  6. Step 6: Final answer
    x = 3,347,633.79

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