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Finding the Third Proportional to 682,217 and 1,477,963

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Solution

The third proportional to 682,217 and 1,477,963 is: 3,201,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,217 : 1,477,963 = 1,477,963 : x
  2. Step 2: Convert to fraction form
    682,217/1,477,963 = 1,477,963/x
  3. Step 3: Cross multiply
    682,217x = 1,477,963 × 1,477,963
  4. Step 4: Simplify right side
    682,217x = 2,184,374,629,369
  5. Step 5: Solve for x
    x = 2,184,374,629,369/682,217
  6. Step 6: Final answer
    x = 3,201,876.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.