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Finding the Third Proportional to 1,296,819 and 2,083,617

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Solution

The third proportional to 1,296,819 and 2,083,617 is: 3,347,776.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,819 : 2,083,617 = 2,083,617 : x
  2. Step 2: Convert to fraction form
    1,296,819/2,083,617 = 2,083,617/x
  3. Step 3: Cross multiply
    1,296,819x = 2,083,617 × 2,083,617
  4. Step 4: Simplify right side
    1,296,819x = 4,341,459,802,689
  5. Step 5: Solve for x
    x = 4,341,459,802,689/1,296,819
  6. Step 6: Final answer
    x = 3,347,776.21

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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.