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Finding the Third Proportional to 548,154 and 1,220,872.50

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Solution

The third proportional to 548,154 and 1,220,872.50 is: 2,719,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,154 : 1,220,872.50 = 1,220,872.50 : x
  2. Step 2: Convert to fraction form
    548,154/1,220,872.50 = 1,220,872.50/x
  3. Step 3: Cross multiply
    548,154x = 1,220,872.50 × 1,220,872.50
  4. Step 4: Simplify right side
    548,154x = 1,490,529,661,256.25
  5. Step 5: Solve for x
    x = 1,490,529,661,256.25/548,154
  6. Step 6: Final answer
    x = 2,719,180.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.