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Finding the Third Proportional to 1,843,041 and 2,884,949

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Solution

The third proportional to 1,843,041 and 2,884,949 is: 4,515,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,041 : 2,884,949 = 2,884,949 : x
  2. Step 2: Convert to fraction form
    1,843,041/2,884,949 = 2,884,949/x
  3. Step 3: Cross multiply
    1,843,041x = 2,884,949 × 2,884,949
  4. Step 4: Simplify right side
    1,843,041x = 8,322,930,732,601
  5. Step 5: Solve for x
    x = 8,322,930,732,601/1,843,041
  6. Step 6: Final answer
    x = 4,515,868.47

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.