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Finding the Third Proportional to 751,980 and 1,565,932

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Solution

The third proportional to 751,980 and 1,565,932 is: 3,260,915.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,980 : 1,565,932 = 1,565,932 : x
  2. Step 2: Convert to fraction form
    751,980/1,565,932 = 1,565,932/x
  3. Step 3: Cross multiply
    751,980x = 1,565,932 × 1,565,932
  4. Step 4: Simplify right side
    751,980x = 2,452,143,028,624
  5. Step 5: Solve for x
    x = 2,452,143,028,624/751,980
  6. Step 6: Final answer
    x = 3,260,915.22

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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.