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Finding the Third Proportional to 2,605,506 and 5,659,540.75

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Solution

The third proportional to 2,605,506 and 5,659,540.75 is: 12,293,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605,506 : 5,659,540.75 = 5,659,540.75 : x
  2. Step 2: Convert to fraction form
    2,605,506/5,659,540.75 = 5,659,540.75/x
  3. Step 3: Cross multiply
    2,605,506x = 5,659,540.75 × 5,659,540.75
  4. Step 4: Simplify right side
    2,605,506x = 32,030,401,500,910.56
  5. Step 5: Solve for x
    x = 32,030,401,500,910.56/2,605,506
  6. Step 6: Final answer
    x = 12,293,351.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.