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Finding the Third Proportional to 461,158 and 993,468

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Solution

The third proportional to 461,158 and 993,468 is: 2,140,218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,158 : 993,468 = 993,468 : x
  2. Step 2: Convert to fraction form
    461,158/993,468 = 993,468/x
  3. Step 3: Cross multiply
    461,158x = 993,468 × 993,468
  4. Step 4: Simplify right side
    461,158x = 986,978,667,024
  5. Step 5: Solve for x
    x = 986,978,667,024/461,158
  6. Step 6: Final answer
    x = 2,140,218.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.