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Finding the Third Proportional to 2,049,223.50 and 3,057,201

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Solution

The third proportional to 2,049,223.50 and 3,057,201 is: 4,560,985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,223.50 : 3,057,201 = 3,057,201 : x
  2. Step 2: Convert to fraction form
    2,049,223.50/3,057,201 = 3,057,201/x
  3. Step 3: Cross multiply
    2,049,223.50x = 3,057,201 × 3,057,201
  4. Step 4: Simplify right side
    2,049,223.50x = 9,346,477,954,401
  5. Step 5: Solve for x
    x = 9,346,477,954,401/2,049,223.50
  6. Step 6: Final answer
    x = 4,560,985.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.