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Finding the Third Proportional to 1,771,094 and 3,800,194

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Solution

The third proportional to 1,771,094 and 3,800,194 is: 8,153,985.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771,094 : 3,800,194 = 3,800,194 : x
  2. Step 2: Convert to fraction form
    1,771,094/3,800,194 = 3,800,194/x
  3. Step 3: Cross multiply
    1,771,094x = 3,800,194 × 3,800,194
  4. Step 4: Simplify right side
    1,771,094x = 14,441,474,437,636
  5. Step 5: Solve for x
    x = 14,441,474,437,636/1,771,094
  6. Step 6: Final answer
    x = 8,153,985.30

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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.