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Finding the Third Proportional to 545,836 and 1,184,912

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Solution

The third proportional to 545,836 and 1,184,912 is: 2,572,231.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,836 : 1,184,912 = 1,184,912 : x
  2. Step 2: Convert to fraction form
    545,836/1,184,912 = 1,184,912/x
  3. Step 3: Cross multiply
    545,836x = 1,184,912 × 1,184,912
  4. Step 4: Simplify right side
    545,836x = 1,404,016,447,744
  5. Step 5: Solve for x
    x = 1,404,016,447,744/545,836
  6. Step 6: Final answer
    x = 2,572,231.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.