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Finding the Third Proportional to 1,843,038 and 2,884,945

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Solution

The third proportional to 1,843,038 and 2,884,945 is: 4,515,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843,038 : 2,884,945 = 2,884,945 : x
  2. Step 2: Convert to fraction form
    1,843,038/2,884,945 = 2,884,945/x
  3. Step 3: Cross multiply
    1,843,038x = 2,884,945 × 2,884,945
  4. Step 4: Simplify right side
    1,843,038x = 8,322,907,653,025
  5. Step 5: Solve for x
    x = 8,322,907,653,025/1,843,038
  6. Step 6: Final answer
    x = 4,515,863.29

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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.