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Finding the Third Proportional to 609,277 and 942,939

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Solution

The third proportional to 609,277 and 942,939 is: 1,459,326.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,277 : 942,939 = 942,939 : x
  2. Step 2: Convert to fraction form
    609,277/942,939 = 942,939/x
  3. Step 3: Cross multiply
    609,277x = 942,939 × 942,939
  4. Step 4: Simplify right side
    609,277x = 889,133,957,721
  5. Step 5: Solve for x
    x = 889,133,957,721/609,277
  6. Step 6: Final answer
    x = 1,459,326.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.