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Finding the Third Proportional to 511,094 and 1,111,673

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Solution

The third proportional to 511,094 and 1,111,673 is: 2,417,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,094 : 1,111,673 = 1,111,673 : x
  2. Step 2: Convert to fraction form
    511,094/1,111,673 = 1,111,673/x
  3. Step 3: Cross multiply
    511,094x = 1,111,673 × 1,111,673
  4. Step 4: Simplify right side
    511,094x = 1,235,816,858,929
  5. Step 5: Solve for x
    x = 1,235,816,858,929/511,094
  6. Step 6: Final answer
    x = 2,417,983.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.