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Finding the Third Proportional to 379,914 and 810,681

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Solution

The third proportional to 379,914 and 810,681 is: 1,729,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,914 : 810,681 = 810,681 : x
  2. Step 2: Convert to fraction form
    379,914/810,681 = 810,681/x
  3. Step 3: Cross multiply
    379,914x = 810,681 × 810,681
  4. Step 4: Simplify right side
    379,914x = 657,203,683,761
  5. Step 5: Solve for x
    x = 657,203,683,761/379,914
  6. Step 6: Final answer
    x = 1,729,874.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.