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Finding the Third Proportional to 2,085,798 and 5,023,149

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Solution

The third proportional to 2,085,798 and 5,023,149 is: 12,097,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085,798 : 5,023,149 = 5,023,149 : x
  2. Step 2: Convert to fraction form
    2,085,798/5,023,149 = 5,023,149/x
  3. Step 3: Cross multiply
    2,085,798x = 5,023,149 × 5,023,149
  4. Step 4: Simplify right side
    2,085,798x = 25,232,025,876,201
  5. Step 5: Solve for x
    x = 25,232,025,876,201/2,085,798
  6. Step 6: Final answer
    x = 12,097,061.11

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.