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Finding the Third Proportional to 751,965 and 1,565,898

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Solution

The third proportional to 751,965 and 1,565,898 is: 3,260,838.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,965 : 1,565,898 = 1,565,898 : x
  2. Step 2: Convert to fraction form
    751,965/1,565,898 = 1,565,898/x
  3. Step 3: Cross multiply
    751,965x = 1,565,898 × 1,565,898
  4. Step 4: Simplify right side
    751,965x = 2,452,036,546,404
  5. Step 5: Solve for x
    x = 2,452,036,546,404/751,965
  6. Step 6: Final answer
    x = 3,260,838.66

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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.