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Finding the Third Proportional to 4,066,049 and 5,963,271

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Solution

The third proportional to 4,066,049 and 5,963,271 is: 8,745,738.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066,049 : 5,963,271 = 5,963,271 : x
  2. Step 2: Convert to fraction form
    4,066,049/5,963,271 = 5,963,271/x
  3. Step 3: Cross multiply
    4,066,049x = 5,963,271 × 5,963,271
  4. Step 4: Simplify right side
    4,066,049x = 35,560,601,019,441
  5. Step 5: Solve for x
    x = 35,560,601,019,441/4,066,049
  6. Step 6: Final answer
    x = 8,745,738.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.