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Finding the Third Proportional to 526,034 and 854,619

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Solution

The third proportional to 526,034 and 854,619 is: 1,388,453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,034 : 854,619 = 854,619 : x
  2. Step 2: Convert to fraction form
    526,034/854,619 = 854,619/x
  3. Step 3: Cross multiply
    526,034x = 854,619 × 854,619
  4. Step 4: Simplify right side
    526,034x = 730,373,635,161
  5. Step 5: Solve for x
    x = 730,373,635,161/526,034
  6. Step 6: Final answer
    x = 1,388,453.28

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.