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Finding the Third Proportional to 967,395 and 2,014,196

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Solution

The third proportional to 967,395 and 2,014,196 is: 4,193,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,395 : 2,014,196 = 2,014,196 : x
  2. Step 2: Convert to fraction form
    967,395/2,014,196 = 2,014,196/x
  3. Step 3: Cross multiply
    967,395x = 2,014,196 × 2,014,196
  4. Step 4: Simplify right side
    967,395x = 4,056,985,526,416
  5. Step 5: Solve for x
    x = 4,056,985,526,416/967,395
  6. Step 6: Final answer
    x = 4,193,721.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.