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Finding the Third Proportional to 553,186.25 and 1,206,904.75

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Solution

The third proportional to 553,186.25 and 1,206,904.75 is: 2,633,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,186.25 : 1,206,904.75 = 1,206,904.75 : x
  2. Step 2: Convert to fraction form
    553,186.25/1,206,904.75 = 1,206,904.75/x
  3. Step 3: Cross multiply
    553,186.25x = 1,206,904.75 × 1,206,904.75
  4. Step 4: Simplify right side
    553,186.25x = 1,456,619,075,572.56
  5. Step 5: Solve for x
    x = 1,456,619,075,572.56/553,186.25
  6. Step 6: Final answer
    x = 2,633,144.04

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