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Finding the Third Proportional to 751,972 and 1,565,910

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Solution

The third proportional to 751,972 and 1,565,910 is: 3,260,858.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,972 : 1,565,910 = 1,565,910 : x
  2. Step 2: Convert to fraction form
    751,972/1,565,910 = 1,565,910/x
  3. Step 3: Cross multiply
    751,972x = 1,565,910 × 1,565,910
  4. Step 4: Simplify right side
    751,972x = 2,452,074,128,100
  5. Step 5: Solve for x
    x = 2,452,074,128,100/751,972
  6. Step 6: Final answer
    x = 3,260,858.29

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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.