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Finding the Third Proportional to 439,214 and 958,738

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Solution

The third proportional to 439,214 and 958,738 is: 2,092,780.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,214 : 958,738 = 958,738 : x
  2. Step 2: Convert to fraction form
    439,214/958,738 = 958,738/x
  3. Step 3: Cross multiply
    439,214x = 958,738 × 958,738
  4. Step 4: Simplify right side
    439,214x = 919,178,552,644
  5. Step 5: Solve for x
    x = 919,178,552,644/439,214
  6. Step 6: Final answer
    x = 2,092,780.63

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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.