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Finding the Third Proportional to 511,504 and 1,076,035

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Solution

The third proportional to 511,504 and 1,076,035 is: 2,263,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,504 : 1,076,035 = 1,076,035 : x
  2. Step 2: Convert to fraction form
    511,504/1,076,035 = 1,076,035/x
  3. Step 3: Cross multiply
    511,504x = 1,076,035 × 1,076,035
  4. Step 4: Simplify right side
    511,504x = 1,157,851,321,225
  5. Step 5: Solve for x
    x = 1,157,851,321,225/511,504
  6. Step 6: Final answer
    x = 2,263,621.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.