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Finding the Third Proportional to 619,232.06 and 1,280,942.02

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Solution

The third proportional to 619,232.06 and 1,280,942.02 is: 2,649,753.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,232.06 : 1,280,942.02 = 1,280,942.02 : x
  2. Step 2: Convert to fraction form
    619,232.06/1,280,942.02 = 1,280,942.02/x
  3. Step 3: Cross multiply
    619,232.06x = 1,280,942.02 × 1,280,942.02
  4. Step 4: Simplify right side
    619,232.06x = 1,640,812,447,393.44
  5. Step 5: Solve for x
    x = 1,640,812,447,393.44/619,232.06
  6. Step 6: Final answer
    x = 2,649,753.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.