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Finding the Third Proportional to 580,016 and 1,284,452

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Solution

The third proportional to 580,016 and 1,284,452 is: 2,844,433.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,016 : 1,284,452 = 1,284,452 : x
  2. Step 2: Convert to fraction form
    580,016/1,284,452 = 1,284,452/x
  3. Step 3: Cross multiply
    580,016x = 1,284,452 × 1,284,452
  4. Step 4: Simplify right side
    580,016x = 1,649,816,940,304
  5. Step 5: Solve for x
    x = 1,649,816,940,304/580,016
  6. Step 6: Final answer
    x = 2,844,433.50

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.