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Finding the Third Proportional to 1,184,742 and 2,558,265

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Solution

The third proportional to 1,184,742 and 2,558,265 is: 5,524,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,742 : 2,558,265 = 2,558,265 : x
  2. Step 2: Convert to fraction form
    1,184,742/2,558,265 = 2,558,265/x
  3. Step 3: Cross multiply
    1,184,742x = 2,558,265 × 2,558,265
  4. Step 4: Simplify right side
    1,184,742x = 6,544,719,810,225
  5. Step 5: Solve for x
    x = 6,544,719,810,225/1,184,742
  6. Step 6: Final answer
    x = 5,524,173.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.