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Finding the Third Proportional to 923,138 and 1,939,580

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Solution

The third proportional to 923,138 and 1,939,580 is: 4,075,198.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,138 : 1,939,580 = 1,939,580 : x
  2. Step 2: Convert to fraction form
    923,138/1,939,580 = 1,939,580/x
  3. Step 3: Cross multiply
    923,138x = 1,939,580 × 1,939,580
  4. Step 4: Simplify right side
    923,138x = 3,761,970,576,400
  5. Step 5: Solve for x
    x = 3,761,970,576,400/923,138
  6. Step 6: Final answer
    x = 4,075,198.48

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.