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Finding the Third Proportional to 2,540,659.50 and 5,290,407

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Solution

The third proportional to 2,540,659.50 and 5,290,407 is: 11,016,197.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,659.50 : 5,290,407 = 5,290,407 : x
  2. Step 2: Convert to fraction form
    2,540,659.50/5,290,407 = 5,290,407/x
  3. Step 3: Cross multiply
    2,540,659.50x = 5,290,407 × 5,290,407
  4. Step 4: Simplify right side
    2,540,659.50x = 27,988,406,225,649
  5. Step 5: Solve for x
    x = 27,988,406,225,649/2,540,659.50
  6. Step 6: Final answer
    x = 11,016,197.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.