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Finding the Third Proportional to 1,305,182 and 1,838,019

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Solution

The third proportional to 1,305,182 and 1,838,019 is: 2,588,385.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305,182 : 1,838,019 = 1,838,019 : x
  2. Step 2: Convert to fraction form
    1,305,182/1,838,019 = 1,838,019/x
  3. Step 3: Cross multiply
    1,305,182x = 1,838,019 × 1,838,019
  4. Step 4: Simplify right side
    1,305,182x = 3,378,313,844,361
  5. Step 5: Solve for x
    x = 3,378,313,844,361/1,305,182
  6. Step 6: Final answer
    x = 2,588,385.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.