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Finding the Third Proportional to 2,886,234 and 6,274,833

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Solution

The third proportional to 2,886,234 and 6,274,833 is: 13,641,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886,234 : 6,274,833 = 6,274,833 : x
  2. Step 2: Convert to fraction form
    2,886,234/6,274,833 = 6,274,833/x
  3. Step 3: Cross multiply
    2,886,234x = 6,274,833 × 6,274,833
  4. Step 4: Simplify right side
    2,886,234x = 39,373,529,177,889
  5. Step 5: Solve for x
    x = 39,373,529,177,889/2,886,234
  6. Step 6: Final answer
    x = 13,641,835.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.