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Finding the Third Proportional to 511,467.75 and 1,076,851.13

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Solution

The third proportional to 511,467.75 and 1,076,851.13 is: 2,267,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,467.75 : 1,076,851.13 = 1,076,851.13 : x
  2. Step 2: Convert to fraction form
    511,467.75/1,076,851.13 = 1,076,851.13/x
  3. Step 3: Cross multiply
    511,467.75x = 1,076,851.13 × 1,076,851.13
  4. Step 4: Simplify right side
    511,467.75x = 1,159,608,345,413.77
  5. Step 5: Solve for x
    x = 1,159,608,345,413.77/511,467.75
  6. Step 6: Final answer
    x = 2,267,216.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.