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Finding the Third Proportional to 2,823,144 and 6,056,115

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Solution

The third proportional to 2,823,144 and 6,056,115 is: 12,991,377.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823,144 : 6,056,115 = 6,056,115 : x
  2. Step 2: Convert to fraction form
    2,823,144/6,056,115 = 6,056,115/x
  3. Step 3: Cross multiply
    2,823,144x = 6,056,115 × 6,056,115
  4. Step 4: Simplify right side
    2,823,144x = 36,676,528,893,225
  5. Step 5: Solve for x
    x = 36,676,528,893,225/2,823,144
  6. Step 6: Final answer
    x = 12,991,377.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.