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Finding the Third Proportional to 511,400.25 and 1,076,716.13

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Solution

The third proportional to 511,400.25 and 1,076,716.13 is: 2,266,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,400.25 : 1,076,716.13 = 1,076,716.13 : x
  2. Step 2: Convert to fraction form
    511,400.25/1,076,716.13 = 1,076,716.13/x
  3. Step 3: Cross multiply
    511,400.25x = 1,076,716.13 × 1,076,716.13
  4. Step 4: Simplify right side
    511,400.25x = 1,159,317,613,835.02
  5. Step 5: Solve for x
    x = 1,159,317,613,835.02/511,400.25
  6. Step 6: Final answer
    x = 2,266,947.69

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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.