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Finding the Third Proportional to 574,124 and 854,622

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Solution

The third proportional to 574,124 and 854,622 is: 1,272,162.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,124 : 854,622 = 854,622 : x
  2. Step 2: Convert to fraction form
    574,124/854,622 = 854,622/x
  3. Step 3: Cross multiply
    574,124x = 854,622 × 854,622
  4. Step 4: Simplify right side
    574,124x = 730,378,762,884
  5. Step 5: Solve for x
    x = 730,378,762,884/574,124
  6. Step 6: Final answer
    x = 1,272,162.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.