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Finding the Third Proportional to 1,435,686 and 2,091,201

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Solution

The third proportional to 1,435,686 and 2,091,201 is: 3,046,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435,686 : 2,091,201 = 2,091,201 : x
  2. Step 2: Convert to fraction form
    1,435,686/2,091,201 = 2,091,201/x
  3. Step 3: Cross multiply
    1,435,686x = 2,091,201 × 2,091,201
  4. Step 4: Simplify right side
    1,435,686x = 4,373,121,622,401
  5. Step 5: Solve for x
    x = 4,373,121,622,401/1,435,686
  6. Step 6: Final answer
    x = 3,046,015.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.