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Finding the Third Proportional to 551,919.75 and 1,221,876.75

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Solution

The third proportional to 551,919.75 and 1,221,876.75 is: 2,705,072.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,919.75 : 1,221,876.75 = 1,221,876.75 : x
  2. Step 2: Convert to fraction form
    551,919.75/1,221,876.75 = 1,221,876.75/x
  3. Step 3: Cross multiply
    551,919.75x = 1,221,876.75 × 1,221,876.75
  4. Step 4: Simplify right side
    551,919.75x = 1,492,982,792,190.56
  5. Step 5: Solve for x
    x = 1,492,982,792,190.56/551,919.75
  6. Step 6: Final answer
    x = 2,705,072.24

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.