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Finding the Third Proportional to 1,200,469.50 and 1,831,194

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Solution

The third proportional to 1,200,469.50 and 1,831,194 is: 2,793,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,469.50 : 1,831,194 = 1,831,194 : x
  2. Step 2: Convert to fraction form
    1,200,469.50/1,831,194 = 1,831,194/x
  3. Step 3: Cross multiply
    1,200,469.50x = 1,831,194 × 1,831,194
  4. Step 4: Simplify right side
    1,200,469.50x = 3,353,271,465,636
  5. Step 5: Solve for x
    x = 3,353,271,465,636/1,200,469.50
  6. Step 6: Final answer
    x = 2,793,300.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.