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Finding the Third Proportional to 589,052.25 and 906,744.38

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Solution

The third proportional to 589,052.25 and 906,744.38 is: 1,395,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,052.25 : 906,744.38 = 906,744.38 : x
  2. Step 2: Convert to fraction form
    589,052.25/906,744.38 = 906,744.38/x
  3. Step 3: Cross multiply
    589,052.25x = 906,744.38 × 906,744.38
  4. Step 4: Simplify right side
    589,052.25x = 822,185,361,594.14
  5. Step 5: Solve for x
    x = 822,185,361,594.14/589,052.25
  6. Step 6: Final answer
    x = 1,395,776.63

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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.