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Finding the Third Proportional to 751,967 and 1,565,902

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Solution

The third proportional to 751,967 and 1,565,902 is: 3,260,846.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,967 : 1,565,902 = 1,565,902 : x
  2. Step 2: Convert to fraction form
    751,967/1,565,902 = 1,565,902/x
  3. Step 3: Cross multiply
    751,967x = 1,565,902 × 1,565,902
  4. Step 4: Simplify right side
    751,967x = 2,452,049,073,604
  5. Step 5: Solve for x
    x = 2,452,049,073,604/751,967
  6. Step 6: Final answer
    x = 3,260,846.65

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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.