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Finding the Third Proportional to 546,105 and 1,181,634

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Solution

The third proportional to 546,105 and 1,181,634 is: 2,556,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,105 : 1,181,634 = 1,181,634 : x
  2. Step 2: Convert to fraction form
    546,105/1,181,634 = 1,181,634/x
  3. Step 3: Cross multiply
    546,105x = 1,181,634 × 1,181,634
  4. Step 4: Simplify right side
    546,105x = 1,396,258,909,956
  5. Step 5: Solve for x
    x = 1,396,258,909,956/546,105
  6. Step 6: Final answer
    x = 2,556,759.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.