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Finding the Third Proportional to 539,660 and 1,184,296

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Solution

The third proportional to 539,660 and 1,184,296 is: 2,598,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,660 : 1,184,296 = 1,184,296 : x
  2. Step 2: Convert to fraction form
    539,660/1,184,296 = 1,184,296/x
  3. Step 3: Cross multiply
    539,660x = 1,184,296 × 1,184,296
  4. Step 4: Simplify right side
    539,660x = 1,402,557,015,616
  5. Step 5: Solve for x
    x = 1,402,557,015,616/539,660
  6. Step 6: Final answer
    x = 2,598,964.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.