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Finding the Third Proportional to 389,742 and 850,014

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Solution

The third proportional to 389,742 and 850,014 is: 1,853,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,742 : 850,014 = 850,014 : x
  2. Step 2: Convert to fraction form
    389,742/850,014 = 850,014/x
  3. Step 3: Cross multiply
    389,742x = 850,014 × 850,014
  4. Step 4: Simplify right side
    389,742x = 722,523,800,196
  5. Step 5: Solve for x
    x = 722,523,800,196/389,742
  6. Step 6: Final answer
    x = 1,853,851.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.