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Finding the Third Proportional to 759,174 and 1,115,916

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Solution

The third proportional to 759,174 and 1,115,916 is: 1,640,293.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,174 : 1,115,916 = 1,115,916 : x
  2. Step 2: Convert to fraction form
    759,174/1,115,916 = 1,115,916/x
  3. Step 3: Cross multiply
    759,174x = 1,115,916 × 1,115,916
  4. Step 4: Simplify right side
    759,174x = 1,245,268,519,056
  5. Step 5: Solve for x
    x = 1,245,268,519,056/759,174
  6. Step 6: Final answer
    x = 1,640,293.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.