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Finding the Third Proportional to 589,093.88 and 906,604.31

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Solution

The third proportional to 589,093.88 and 906,604.31 is: 1,395,246.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,093.88 : 906,604.31 = 906,604.31 : x
  2. Step 2: Convert to fraction form
    589,093.88/906,604.31 = 906,604.31/x
  3. Step 3: Cross multiply
    589,093.88x = 906,604.31 × 906,604.31
  4. Step 4: Simplify right side
    589,093.88x = 821,931,379,443.60
  5. Step 5: Solve for x
    x = 821,931,379,443.60/589,093.88
  6. Step 6: Final answer
    x = 1,395,246.86

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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.