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Finding the Third Proportional to 790,598 and 1,738,633.50

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Solution

The third proportional to 790,598 and 1,738,633.50 is: 3,823,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    790,598 : 1,738,633.50 = 1,738,633.50 : x
  2. Step 2: Convert to fraction form
    790,598/1,738,633.50 = 1,738,633.50/x
  3. Step 3: Cross multiply
    790,598x = 1,738,633.50 × 1,738,633.50
  4. Step 4: Simplify right side
    790,598x = 3,022,846,447,322.25
  5. Step 5: Solve for x
    x = 3,022,846,447,322.25/790,598
  6. Step 6: Final answer
    x = 3,823,493.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.