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Finding the Third Proportional to 619,231.50 and 1,280,941.03

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Solution

The third proportional to 619,231.50 and 1,280,941.03 is: 2,649,752.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,231.50 : 1,280,941.03 = 1,280,941.03 : x
  2. Step 2: Convert to fraction form
    619,231.50/1,280,941.03 = 1,280,941.03/x
  3. Step 3: Cross multiply
    619,231.50x = 1,280,941.03 × 1,280,941.03
  4. Step 4: Simplify right side
    619,231.50x = 1,640,809,925,539.81
  5. Step 5: Solve for x
    x = 1,640,809,925,539.81/619,231.50
  6. Step 6: Final answer
    x = 2,649,752.03

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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.