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Finding the Third Proportional to 2,867,784 and 4,401,936

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Solution

The third proportional to 2,867,784 and 4,401,936 is: 6,756,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867,784 : 4,401,936 = 4,401,936 : x
  2. Step 2: Convert to fraction form
    2,867,784/4,401,936 = 4,401,936/x
  3. Step 3: Cross multiply
    2,867,784x = 4,401,936 × 4,401,936
  4. Step 4: Simplify right side
    2,867,784x = 19,377,040,548,096
  5. Step 5: Solve for x
    x = 19,377,040,548,096/2,867,784
  6. Step 6: Final answer
    x = 6,756,799.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.