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Finding the Third Proportional to 2,619,666 and 5,637,717

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Solution

The third proportional to 2,619,666 and 5,637,717 is: 12,132,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619,666 : 5,637,717 = 5,637,717 : x
  2. Step 2: Convert to fraction form
    2,619,666/5,637,717 = 5,637,717/x
  3. Step 3: Cross multiply
    2,619,666x = 5,637,717 × 5,637,717
  4. Step 4: Simplify right side
    2,619,666x = 31,783,852,972,089
  5. Step 5: Solve for x
    x = 31,783,852,972,089/2,619,666
  6. Step 6: Final answer
    x = 12,132,788.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.