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Finding the Third Proportional to 621,034 and 1,264,906

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Solution

The third proportional to 621,034 and 1,264,906 is: 2,576,327.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,034 : 1,264,906 = 1,264,906 : x
  2. Step 2: Convert to fraction form
    621,034/1,264,906 = 1,264,906/x
  3. Step 3: Cross multiply
    621,034x = 1,264,906 × 1,264,906
  4. Step 4: Simplify right side
    621,034x = 1,599,987,188,836
  5. Step 5: Solve for x
    x = 1,599,987,188,836/621,034
  6. Step 6: Final answer
    x = 2,576,327.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.