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Finding the Third Proportional to 1,073,646 and 2,340,201

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Solution

The third proportional to 1,073,646 and 2,340,201 is: 5,100,881.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073,646 : 2,340,201 = 2,340,201 : x
  2. Step 2: Convert to fraction form
    1,073,646/2,340,201 = 2,340,201/x
  3. Step 3: Cross multiply
    1,073,646x = 2,340,201 × 2,340,201
  4. Step 4: Simplify right side
    1,073,646x = 5,476,540,720,401
  5. Step 5: Solve for x
    x = 5,476,540,720,401/1,073,646
  6. Step 6: Final answer
    x = 5,100,881.22

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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.