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Finding the Third Proportional to 539,811 and 1,146,042

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Solution

The third proportional to 539,811 and 1,146,042 is: 2,433,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,811 : 1,146,042 = 1,146,042 : x
  2. Step 2: Convert to fraction form
    539,811/1,146,042 = 1,146,042/x
  3. Step 3: Cross multiply
    539,811x = 1,146,042 × 1,146,042
  4. Step 4: Simplify right side
    539,811x = 1,313,412,265,764
  5. Step 5: Solve for x
    x = 1,313,412,265,764/539,811
  6. Step 6: Final answer
    x = 2,433,096.52

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.