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Finding the Third Proportional to 511,924.50 and 1,124,460

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Solution

The third proportional to 511,924.50 and 1,124,460 is: 2,469,915.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,924.50 : 1,124,460 = 1,124,460 : x
  2. Step 2: Convert to fraction form
    511,924.50/1,124,460 = 1,124,460/x
  3. Step 3: Cross multiply
    511,924.50x = 1,124,460 × 1,124,460
  4. Step 4: Simplify right side
    511,924.50x = 1,264,410,291,600
  5. Step 5: Solve for x
    x = 1,264,410,291,600/511,924.50
  6. Step 6: Final answer
    x = 2,469,915.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.