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Finding the Third Proportional to 542,615 and 1,178,605

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Solution

The third proportional to 542,615 and 1,178,605 is: 2,560,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,615 : 1,178,605 = 1,178,605 : x
  2. Step 2: Convert to fraction form
    542,615/1,178,605 = 1,178,605/x
  3. Step 3: Cross multiply
    542,615x = 1,178,605 × 1,178,605
  4. Step 4: Simplify right side
    542,615x = 1,389,109,746,025
  5. Step 5: Solve for x
    x = 1,389,109,746,025/542,615
  6. Step 6: Final answer
    x = 2,560,028.28

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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.