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Finding the Third Proportional to 2,078,980 and 3,109,975

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Solution

The third proportional to 2,078,980 and 3,109,975 is: 4,652,254.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078,980 : 3,109,975 = 3,109,975 : x
  2. Step 2: Convert to fraction form
    2,078,980/3,109,975 = 3,109,975/x
  3. Step 3: Cross multiply
    2,078,980x = 3,109,975 × 3,109,975
  4. Step 4: Simplify right side
    2,078,980x = 9,671,944,500,625
  5. Step 5: Solve for x
    x = 9,671,944,500,625/2,078,980
  6. Step 6: Final answer
    x = 4,652,254.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.