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Finding the Third Proportional to 4,571,876 and 6,269,288

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Solution

The third proportional to 4,571,876 and 6,269,288 is: 8,596,902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571,876 : 6,269,288 = 6,269,288 : x
  2. Step 2: Convert to fraction form
    4,571,876/6,269,288 = 6,269,288/x
  3. Step 3: Cross multiply
    4,571,876x = 6,269,288 × 6,269,288
  4. Step 4: Simplify right side
    4,571,876x = 39,303,972,026,944
  5. Step 5: Solve for x
    x = 39,303,972,026,944/4,571,876
  6. Step 6: Final answer
    x = 8,596,902.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.