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Finding the Third Proportional to 681,400.50 and 1,482,114

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Solution

The third proportional to 681,400.50 and 1,482,114 is: 3,223,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,400.50 : 1,482,114 = 1,482,114 : x
  2. Step 2: Convert to fraction form
    681,400.50/1,482,114 = 1,482,114/x
  3. Step 3: Cross multiply
    681,400.50x = 1,482,114 × 1,482,114
  4. Step 4: Simplify right side
    681,400.50x = 2,196,661,908,996
  5. Step 5: Solve for x
    x = 2,196,661,908,996/681,400.50
  6. Step 6: Final answer
    x = 3,223,745.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.