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Finding the Third Proportional to 599,784.75 and 1,321,153.03

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Solution

The third proportional to 599,784.75 and 1,321,153.03 is: 2,910,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,784.75 : 1,321,153.03 = 1,321,153.03 : x
  2. Step 2: Convert to fraction form
    599,784.75/1,321,153.03 = 1,321,153.03/x
  3. Step 3: Cross multiply
    599,784.75x = 1,321,153.03 × 1,321,153.03
  4. Step 4: Simplify right side
    599,784.75x = 1,745,445,331,981.06
  5. Step 5: Solve for x
    x = 1,745,445,331,981.06/599,784.75
  6. Step 6: Final answer
    x = 2,910,119.56

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Why These Related Problems?

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