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Finding the Third Proportional to 1,120,851 and 2,477,223

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Solution

The third proportional to 1,120,851 and 2,477,223 is: 5,474,977.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120,851 : 2,477,223 = 2,477,223 : x
  2. Step 2: Convert to fraction form
    1,120,851/2,477,223 = 2,477,223/x
  3. Step 3: Cross multiply
    1,120,851x = 2,477,223 × 2,477,223
  4. Step 4: Simplify right side
    1,120,851x = 6,136,633,791,729
  5. Step 5: Solve for x
    x = 6,136,633,791,729/1,120,851
  6. Step 6: Final answer
    x = 5,474,977.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.