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Finding the Third Proportional to 500,826 and 1,181,075

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Solution

The third proportional to 500,826 and 1,181,075 is: 2,785,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,826 : 1,181,075 = 1,181,075 : x
  2. Step 2: Convert to fraction form
    500,826/1,181,075 = 1,181,075/x
  3. Step 3: Cross multiply
    500,826x = 1,181,075 × 1,181,075
  4. Step 4: Simplify right side
    500,826x = 1,394,938,155,625
  5. Step 5: Solve for x
    x = 1,394,938,155,625/500,826
  6. Step 6: Final answer
    x = 2,785,275.04

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.