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Finding the Third Proportional to 828,078.50 and 1,774,201

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Solution

The third proportional to 828,078.50 and 1,774,201 is: 3,801,317.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,078.50 : 1,774,201 = 1,774,201 : x
  2. Step 2: Convert to fraction form
    828,078.50/1,774,201 = 1,774,201/x
  3. Step 3: Cross multiply
    828,078.50x = 1,774,201 × 1,774,201
  4. Step 4: Simplify right side
    828,078.50x = 3,147,789,188,401
  5. Step 5: Solve for x
    x = 3,147,789,188,401/828,078.50
  6. Step 6: Final answer
    x = 3,801,317.37

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.