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Finding the Third Proportional to 542,867 and 1,192,807

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Solution

The third proportional to 542,867 and 1,192,807 is: 2,620,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,867 : 1,192,807 = 1,192,807 : x
  2. Step 2: Convert to fraction form
    542,867/1,192,807 = 1,192,807/x
  3. Step 3: Cross multiply
    542,867x = 1,192,807 × 1,192,807
  4. Step 4: Simplify right side
    542,867x = 1,422,788,539,249
  5. Step 5: Solve for x
    x = 1,422,788,539,249/542,867
  6. Step 6: Final answer
    x = 2,620,878.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.