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Finding the Third Proportional to 2,004,869 and 4,731,132

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Solution

The third proportional to 2,004,869 and 4,731,132 is: 11,164,624.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004,869 : 4,731,132 = 4,731,132 : x
  2. Step 2: Convert to fraction form
    2,004,869/4,731,132 = 4,731,132/x
  3. Step 3: Cross multiply
    2,004,869x = 4,731,132 × 4,731,132
  4. Step 4: Simplify right side
    2,004,869x = 22,383,610,001,424
  5. Step 5: Solve for x
    x = 22,383,610,001,424/2,004,869
  6. Step 6: Final answer
    x = 11,164,624.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.