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Finding the Third Proportional to 2,511,258 and 5,450,621

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Solution

The third proportional to 2,511,258 and 5,450,621 is: 11,830,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,511,258 : 5,450,621 = 5,450,621 : x
  2. Step 2: Convert to fraction form
    2,511,258/5,450,621 = 5,450,621/x
  3. Step 3: Cross multiply
    2,511,258x = 5,450,621 × 5,450,621
  4. Step 4: Simplify right side
    2,511,258x = 29,709,269,285,641
  5. Step 5: Solve for x
    x = 29,709,269,285,641/2,511,258
  6. Step 6: Final answer
    x = 11,830,432.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.