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Finding the Third Proportional to 567,876 and 1,211,556

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Solution

The third proportional to 567,876 and 1,211,556 is: 2,584,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,876 : 1,211,556 = 1,211,556 : x
  2. Step 2: Convert to fraction form
    567,876/1,211,556 = 1,211,556/x
  3. Step 3: Cross multiply
    567,876x = 1,211,556 × 1,211,556
  4. Step 4: Simplify right side
    567,876x = 1,467,867,941,136
  5. Step 5: Solve for x
    x = 1,467,867,941,136/567,876
  6. Step 6: Final answer
    x = 2,584,838.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.