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Finding the Third Proportional to 634,442 and 1,379,476

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Solution

The third proportional to 634,442 and 1,379,476 is: 2,999,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,442 : 1,379,476 = 1,379,476 : x
  2. Step 2: Convert to fraction form
    634,442/1,379,476 = 1,379,476/x
  3. Step 3: Cross multiply
    634,442x = 1,379,476 × 1,379,476
  4. Step 4: Simplify right side
    634,442x = 1,902,954,034,576
  5. Step 5: Solve for x
    x = 1,902,954,034,576/634,442
  6. Step 6: Final answer
    x = 2,999,413.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.