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Finding the Third Proportional to 589,336 and 906,378

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Solution

The third proportional to 589,336 and 906,378 is: 1,393,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,336 : 906,378 = 906,378 : x
  2. Step 2: Convert to fraction form
    589,336/906,378 = 906,378/x
  3. Step 3: Cross multiply
    589,336x = 906,378 × 906,378
  4. Step 4: Simplify right side
    589,336x = 821,521,078,884
  5. Step 5: Solve for x
    x = 821,521,078,884/589,336
  6. Step 6: Final answer
    x = 1,393,977.42

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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.