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Finding the Third Proportional to 518,094 and 1,114,919.50

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Solution

The third proportional to 518,094 and 1,114,919.50 is: 2,399,266.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,094 : 1,114,919.50 = 1,114,919.50 : x
  2. Step 2: Convert to fraction form
    518,094/1,114,919.50 = 1,114,919.50/x
  3. Step 3: Cross multiply
    518,094x = 1,114,919.50 × 1,114,919.50
  4. Step 4: Simplify right side
    518,094x = 1,243,045,491,480.25
  5. Step 5: Solve for x
    x = 1,243,045,491,480.25/518,094
  6. Step 6: Final answer
    x = 2,399,266.33

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Why These Related Problems?

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