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Finding the Third Proportional to 2,303,847 and 5,119,038

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Solution

The third proportional to 2,303,847 and 5,119,038 is: 11,374,257.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303,847 : 5,119,038 = 5,119,038 : x
  2. Step 2: Convert to fraction form
    2,303,847/5,119,038 = 5,119,038/x
  3. Step 3: Cross multiply
    2,303,847x = 5,119,038 × 5,119,038
  4. Step 4: Simplify right side
    2,303,847x = 26,204,550,045,444
  5. Step 5: Solve for x
    x = 26,204,550,045,444/2,303,847
  6. Step 6: Final answer
    x = 11,374,257.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.