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Finding the Third Proportional to 725,185 and 1,590,338

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Solution

The third proportional to 725,185 and 1,590,338 is: 3,487,627.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,185 : 1,590,338 = 1,590,338 : x
  2. Step 2: Convert to fraction form
    725,185/1,590,338 = 1,590,338/x
  3. Step 3: Cross multiply
    725,185x = 1,590,338 × 1,590,338
  4. Step 4: Simplify right side
    725,185x = 2,529,174,954,244
  5. Step 5: Solve for x
    x = 2,529,174,954,244/725,185
  6. Step 6: Final answer
    x = 3,487,627.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.