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Finding the Third Proportional to 1,477,191 and 3,213,201

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Solution

The third proportional to 1,477,191 and 3,213,201 is: 6,989,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477,191 : 3,213,201 = 3,213,201 : x
  2. Step 2: Convert to fraction form
    1,477,191/3,213,201 = 3,213,201/x
  3. Step 3: Cross multiply
    1,477,191x = 3,213,201 × 3,213,201
  4. Step 4: Simplify right side
    1,477,191x = 10,324,660,666,401
  5. Step 5: Solve for x
    x = 10,324,660,666,401/1,477,191
  6. Step 6: Final answer
    x = 6,989,387.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.