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Finding the Third Proportional to 546,339.94 and 1,188,376.31

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Solution

The third proportional to 546,339.94 and 1,188,376.31 is: 2,584,907.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,339.94 : 1,188,376.31 = 1,188,376.31 : x
  2. Step 2: Convert to fraction form
    546,339.94/1,188,376.31 = 1,188,376.31/x
  3. Step 3: Cross multiply
    546,339.94x = 1,188,376.31 × 1,188,376.31
  4. Step 4: Simplify right side
    546,339.94x = 1,412,238,260,111.10
  5. Step 5: Solve for x
    x = 1,412,238,260,111.10/546,339.94
  6. Step 6: Final answer
    x = 2,584,907.61

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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.