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Finding the Third Proportional to 410,544 and 853,740

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Solution

The third proportional to 410,544 and 853,740 is: 1,775,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,544 : 853,740 = 853,740 : x
  2. Step 2: Convert to fraction form
    410,544/853,740 = 853,740/x
  3. Step 3: Cross multiply
    410,544x = 853,740 × 853,740
  4. Step 4: Simplify right side
    410,544x = 728,871,987,600
  5. Step 5: Solve for x
    x = 728,871,987,600/410,544
  6. Step 6: Final answer
    x = 1,775,380.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.