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Finding the Third Proportional to 589,113.56 and 1,271,224.97

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Solution

The third proportional to 589,113.56 and 1,271,224.97 is: 2,743,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,113.56 : 1,271,224.97 = 1,271,224.97 : x
  2. Step 2: Convert to fraction form
    589,113.56/1,271,224.97 = 1,271,224.97/x
  3. Step 3: Cross multiply
    589,113.56x = 1,271,224.97 × 1,271,224.97
  4. Step 4: Simplify right side
    589,113.56x = 1,616,012,921,173.44
  5. Step 5: Solve for x
    x = 1,616,012,921,173.44/589,113.56
  6. Step 6: Final answer
    x = 2,743,126.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.