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Finding the Third Proportional to 518,096 and 1,114,923.50

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Solution

The third proportional to 518,096 and 1,114,923.50 is: 2,399,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,096 : 1,114,923.50 = 1,114,923.50 : x
  2. Step 2: Convert to fraction form
    518,096/1,114,923.50 = 1,114,923.50/x
  3. Step 3: Cross multiply
    518,096x = 1,114,923.50 × 1,114,923.50
  4. Step 4: Simplify right side
    518,096x = 1,243,054,410,852.25
  5. Step 5: Solve for x
    x = 1,243,054,410,852.25/518,096
  6. Step 6: Final answer
    x = 2,399,274.29

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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.