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Finding the Third Proportional to 542,623.13 and 1,178,629.13

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Solution

The third proportional to 542,623.13 and 1,178,629.13 is: 2,560,094.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,623.13 : 1,178,629.13 = 1,178,629.13 : x
  2. Step 2: Convert to fraction form
    542,623.13/1,178,629.13 = 1,178,629.13/x
  3. Step 3: Cross multiply
    542,623.13x = 1,178,629.13 × 1,178,629.13
  4. Step 4: Simplify right side
    542,623.13x = 1,389,166,614,298.27
  5. Step 5: Solve for x
    x = 1,389,166,614,298.27/542,623.13
  6. Step 6: Final answer
    x = 2,560,094.75

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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.