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Finding the Third Proportional to 807,198 and 1,698,049.50

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Solution

The third proportional to 807,198 and 1,698,049.50 is: 3,572,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,198 : 1,698,049.50 = 1,698,049.50 : x
  2. Step 2: Convert to fraction form
    807,198/1,698,049.50 = 1,698,049.50/x
  3. Step 3: Cross multiply
    807,198x = 1,698,049.50 × 1,698,049.50
  4. Step 4: Simplify right side
    807,198x = 2,883,372,104,450.25
  5. Step 5: Solve for x
    x = 2,883,372,104,450.25/807,198
  6. Step 6: Final answer
    x = 3,572,075.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.