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Finding the Third Proportional to 543,069 and 1,100,686.50

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Solution

The third proportional to 543,069 and 1,100,686.50 is: 2,230,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,069 : 1,100,686.50 = 1,100,686.50 : x
  2. Step 2: Convert to fraction form
    543,069/1,100,686.50 = 1,100,686.50/x
  3. Step 3: Cross multiply
    543,069x = 1,100,686.50 × 1,100,686.50
  4. Step 4: Simplify right side
    543,069x = 1,211,510,771,282.25
  5. Step 5: Solve for x
    x = 1,211,510,771,282.25/543,069
  6. Step 6: Final answer
    x = 2,230,859.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.