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Finding the Third Proportional to 588,971.25 and 1,293,647.63

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Solution

The third proportional to 588,971.25 and 1,293,647.63 is: 2,841,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,971.25 : 1,293,647.63 = 1,293,647.63 : x
  2. Step 2: Convert to fraction form
    588,971.25/1,293,647.63 = 1,293,647.63/x
  3. Step 3: Cross multiply
    588,971.25x = 1,293,647.63 × 1,293,647.63
  4. Step 4: Simplify right side
    588,971.25x = 1,673,524,177,668.14
  5. Step 5: Solve for x
    x = 1,673,524,177,668.14/588,971.25
  6. Step 6: Final answer
    x = 2,841,436.11

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.