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Finding the Third Proportional to 496,125 and 1,076,268

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Solution

The third proportional to 496,125 and 1,076,268 is: 2,334,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,125 : 1,076,268 = 1,076,268 : x
  2. Step 2: Convert to fraction form
    496,125/1,076,268 = 1,076,268/x
  3. Step 3: Cross multiply
    496,125x = 1,076,268 × 1,076,268
  4. Step 4: Simplify right side
    496,125x = 1,158,352,807,824
  5. Step 5: Solve for x
    x = 1,158,352,807,824/496,125
  6. Step 6: Final answer
    x = 2,334,800.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.