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Finding the Third Proportional to 1,109,839.50 and 1,664,907.75

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Solution

The third proportional to 1,109,839.50 and 1,664,907.75 is: 2,497,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109,839.50 : 1,664,907.75 = 1,664,907.75 : x
  2. Step 2: Convert to fraction form
    1,109,839.50/1,664,907.75 = 1,664,907.75/x
  3. Step 3: Cross multiply
    1,109,839.50x = 1,664,907.75 × 1,664,907.75
  4. Step 4: Simplify right side
    1,109,839.50x = 2,771,917,816,010.06
  5. Step 5: Solve for x
    x = 2,771,917,816,010.06/1,109,839.50
  6. Step 6: Final answer
    x = 2,497,584.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.