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Finding the Third Proportional to 1,199,656.50 and 2,534,178

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Solution

The third proportional to 1,199,656.50 and 2,534,178 is: 5,353,247.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,656.50 : 2,534,178 = 2,534,178 : x
  2. Step 2: Convert to fraction form
    1,199,656.50/2,534,178 = 2,534,178/x
  3. Step 3: Cross multiply
    1,199,656.50x = 2,534,178 × 2,534,178
  4. Step 4: Simplify right side
    1,199,656.50x = 6,422,058,135,684
  5. Step 5: Solve for x
    x = 6,422,058,135,684/1,199,656.50
  6. Step 6: Final answer
    x = 5,353,247.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.