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Finding the Third Proportional to 580,845 and 1,230,916

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Solution

The third proportional to 580,845 and 1,230,916 is: 2,608,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,845 : 1,230,916 = 1,230,916 : x
  2. Step 2: Convert to fraction form
    580,845/1,230,916 = 1,230,916/x
  3. Step 3: Cross multiply
    580,845x = 1,230,916 × 1,230,916
  4. Step 4: Simplify right side
    580,845x = 1,515,154,199,056
  5. Step 5: Solve for x
    x = 1,515,154,199,056/580,845
  6. Step 6: Final answer
    x = 2,608,534.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.