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Finding the Third Proportional to 395,084 and 837,189

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Solution

The third proportional to 395,084 and 837,189 is: 1,774,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,084 : 837,189 = 837,189 : x
  2. Step 2: Convert to fraction form
    395,084/837,189 = 837,189/x
  3. Step 3: Cross multiply
    395,084x = 837,189 × 837,189
  4. Step 4: Simplify right side
    395,084x = 700,885,421,721
  5. Step 5: Solve for x
    x = 700,885,421,721/395,084
  6. Step 6: Final answer
    x = 1,774,016.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.