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Finding the Third Proportional to 542,975.91 and 1,180,509.19

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Solution

The third proportional to 542,975.91 and 1,180,509.19 is: 2,566,599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,975.91 : 1,180,509.19 = 1,180,509.19 : x
  2. Step 2: Convert to fraction form
    542,975.91/1,180,509.19 = 1,180,509.19/x
  3. Step 3: Cross multiply
    542,975.91x = 1,180,509.19 × 1,180,509.19
  4. Step 4: Simplify right side
    542,975.91x = 1,393,601,941,771.91
  5. Step 5: Solve for x
    x = 1,393,601,941,771.91/542,975.91
  6. Step 6: Final answer
    x = 2,566,599.96

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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.