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Finding the Third Proportional to 439,323 and 959,214

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Solution

The third proportional to 439,323 and 959,214 is: 2,094,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,323 : 959,214 = 959,214 : x
  2. Step 2: Convert to fraction form
    439,323/959,214 = 959,214/x
  3. Step 3: Cross multiply
    439,323x = 959,214 × 959,214
  4. Step 4: Simplify right side
    439,323x = 920,091,497,796
  5. Step 5: Solve for x
    x = 920,091,497,796/439,323
  6. Step 6: Final answer
    x = 2,094,339.47

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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.