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Finding the Third Proportional to 751,977 and 1,565,919

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Solution

The third proportional to 751,977 and 1,565,919 is: 3,260,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,977 : 1,565,919 = 1,565,919 : x
  2. Step 2: Convert to fraction form
    751,977/1,565,919 = 1,565,919/x
  3. Step 3: Cross multiply
    751,977x = 1,565,919 × 1,565,919
  4. Step 4: Simplify right side
    751,977x = 2,452,102,314,561
  5. Step 5: Solve for x
    x = 2,452,102,314,561/751,977
  6. Step 6: Final answer
    x = 3,260,874.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.