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Finding the Third Proportional to 725,040 and 1,590,144

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Solution

The third proportional to 725,040 and 1,590,144 is: 3,487,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,040 : 1,590,144 = 1,590,144 : x
  2. Step 2: Convert to fraction form
    725,040/1,590,144 = 1,590,144/x
  3. Step 3: Cross multiply
    725,040x = 1,590,144 × 1,590,144
  4. Step 4: Simplify right side
    725,040x = 2,528,557,940,736
  5. Step 5: Solve for x
    x = 2,528,557,940,736/725,040
  6. Step 6: Final answer
    x = 3,487,473.71

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