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Finding the Third Proportional to 439,308 and 959,184

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Solution

The third proportional to 439,308 and 959,184 is: 2,094,279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,308 : 959,184 = 959,184 : x
  2. Step 2: Convert to fraction form
    439,308/959,184 = 959,184/x
  3. Step 3: Cross multiply
    439,308x = 959,184 × 959,184
  4. Step 4: Simplify right side
    439,308x = 920,033,945,856
  5. Step 5: Solve for x
    x = 920,033,945,856/439,308
  6. Step 6: Final answer
    x = 2,094,279.97

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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.