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Finding the Third Proportional to 585,754.50 and 1,278,914

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Solution

The third proportional to 585,754.50 and 1,278,914 is: 2,792,331.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,754.50 : 1,278,914 = 1,278,914 : x
  2. Step 2: Convert to fraction form
    585,754.50/1,278,914 = 1,278,914/x
  3. Step 3: Cross multiply
    585,754.50x = 1,278,914 × 1,278,914
  4. Step 4: Simplify right side
    585,754.50x = 1,635,621,019,396
  5. Step 5: Solve for x
    x = 1,635,621,019,396/585,754.50
  6. Step 6: Final answer
    x = 2,792,331.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.