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Finding the Third Proportional to 589,340 and 906,384

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Solution

The third proportional to 589,340 and 906,384 is: 1,393,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,340 : 906,384 = 906,384 : x
  2. Step 2: Convert to fraction form
    589,340/906,384 = 906,384/x
  3. Step 3: Cross multiply
    589,340x = 906,384 × 906,384
  4. Step 4: Simplify right side
    589,340x = 821,531,955,456
  5. Step 5: Solve for x
    x = 821,531,955,456/589,340
  6. Step 6: Final answer
    x = 1,393,986.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.