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Finding the Third Proportional to 3,116,171 and 4,786,821

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Solution

The third proportional to 3,116,171 and 4,786,821 is: 7,353,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116,171 : 4,786,821 = 4,786,821 : x
  2. Step 2: Convert to fraction form
    3,116,171/4,786,821 = 4,786,821/x
  3. Step 3: Cross multiply
    3,116,171x = 4,786,821 × 4,786,821
  4. Step 4: Simplify right side
    3,116,171x = 22,913,655,286,041
  5. Step 5: Solve for x
    x = 22,913,655,286,041/3,116,171
  6. Step 6: Final answer
    x = 7,353,144.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.