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Finding the Third Proportional to 751,696 and 1,565,408

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Solution

The third proportional to 751,696 and 1,565,408 is: 3,259,964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,696 : 1,565,408 = 1,565,408 : x
  2. Step 2: Convert to fraction form
    751,696/1,565,408 = 1,565,408/x
  3. Step 3: Cross multiply
    751,696x = 1,565,408 × 1,565,408
  4. Step 4: Simplify right side
    751,696x = 2,450,502,206,464
  5. Step 5: Solve for x
    x = 2,450,502,206,464/751,696
  6. Step 6: Final answer
    x = 3,259,964.41

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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.