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Finding the Third Proportional to 1,184,820.75 and 2,601,324

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Solution

The third proportional to 1,184,820.75 and 2,601,324 is: 5,711,316.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,820.75 : 2,601,324 = 2,601,324 : x
  2. Step 2: Convert to fraction form
    1,184,820.75/2,601,324 = 2,601,324/x
  3. Step 3: Cross multiply
    1,184,820.75x = 2,601,324 × 2,601,324
  4. Step 4: Simplify right side
    1,184,820.75x = 6,766,886,552,976
  5. Step 5: Solve for x
    x = 6,766,886,552,976/1,184,820.75
  6. Step 6: Final answer
    x = 5,711,316.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.