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Finding the Third Proportional to 513,727 and 1,114,995

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Solution

The third proportional to 513,727 and 1,114,995 is: 2,419,989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,727 : 1,114,995 = 1,114,995 : x
  2. Step 2: Convert to fraction form
    513,727/1,114,995 = 1,114,995/x
  3. Step 3: Cross multiply
    513,727x = 1,114,995 × 1,114,995
  4. Step 4: Simplify right side
    513,727x = 1,243,213,850,025
  5. Step 5: Solve for x
    x = 1,243,213,850,025/513,727
  6. Step 6: Final answer
    x = 2,419,989.31

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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.