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Finding the Third Proportional to 739,296 and 1,583,556

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Solution

The third proportional to 739,296 and 1,583,556 is: 3,391,942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,296 : 1,583,556 = 1,583,556 : x
  2. Step 2: Convert to fraction form
    739,296/1,583,556 = 1,583,556/x
  3. Step 3: Cross multiply
    739,296x = 1,583,556 × 1,583,556
  4. Step 4: Simplify right side
    739,296x = 2,507,649,605,136
  5. Step 5: Solve for x
    x = 2,507,649,605,136/739,296
  6. Step 6: Final answer
    x = 3,391,942.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.