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Finding the Third Proportional to 665,790 and 942,075

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Solution

The third proportional to 665,790 and 942,075 is: 1,333,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,790 : 942,075 = 942,075 : x
  2. Step 2: Convert to fraction form
    665,790/942,075 = 942,075/x
  3. Step 3: Cross multiply
    665,790x = 942,075 × 942,075
  4. Step 4: Simplify right side
    665,790x = 887,505,305,625
  5. Step 5: Solve for x
    x = 887,505,305,625/665,790
  6. Step 6: Final answer
    x = 1,333,010.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.