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Finding the Third Proportional to 505,047 and 1,122,201

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Solution

The third proportional to 505,047 and 1,122,201 is: 2,493,500.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,047 : 1,122,201 = 1,122,201 : x
  2. Step 2: Convert to fraction form
    505,047/1,122,201 = 1,122,201/x
  3. Step 3: Cross multiply
    505,047x = 1,122,201 × 1,122,201
  4. Step 4: Simplify right side
    505,047x = 1,259,335,084,401
  5. Step 5: Solve for x
    x = 1,259,335,084,401/505,047
  6. Step 6: Final answer
    x = 2,493,500.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.