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Finding the Third Proportional to 802,041 and 1,670,194.50

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Solution

The third proportional to 802,041 and 1,670,194.50 is: 3,478,063.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,041 : 1,670,194.50 = 1,670,194.50 : x
  2. Step 2: Convert to fraction form
    802,041/1,670,194.50 = 1,670,194.50/x
  3. Step 3: Cross multiply
    802,041x = 1,670,194.50 × 1,670,194.50
  4. Step 4: Simplify right side
    802,041x = 2,789,549,667,830.25
  5. Step 5: Solve for x
    x = 2,789,549,667,830.25/802,041
  6. Step 6: Final answer
    x = 3,478,063.67

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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.