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Finding the Third Proportional to 619,246.69 and 1,280,967.75

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Solution

The third proportional to 619,246.69 and 1,280,967.75 is: 2,649,797.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,246.69 : 1,280,967.75 = 1,280,967.75 : x
  2. Step 2: Convert to fraction form
    619,246.69/1,280,967.75 = 1,280,967.75/x
  3. Step 3: Cross multiply
    619,246.69x = 1,280,967.75 × 1,280,967.75
  4. Step 4: Simplify right side
    619,246.69x = 1,640,878,376,540.06
  5. Step 5: Solve for x
    x = 1,640,878,376,540.06/619,246.69
  6. Step 6: Final answer
    x = 2,649,797.58

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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.