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Finding the Third Proportional to 960,349.50 and 2,057,622.75

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Solution

The third proportional to 960,349.50 and 2,057,622.75 is: 4,408,615.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,349.50 : 2,057,622.75 = 2,057,622.75 : x
  2. Step 2: Convert to fraction form
    960,349.50/2,057,622.75 = 2,057,622.75/x
  3. Step 3: Cross multiply
    960,349.50x = 2,057,622.75 × 2,057,622.75
  4. Step 4: Simplify right side
    960,349.50x = 4,233,811,381,317.56
  5. Step 5: Solve for x
    x = 4,233,811,381,317.56/960,349.50
  6. Step 6: Final answer
    x = 4,408,615.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.