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Finding the Third Proportional to 963,738 and 2,283,148.27

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Solution

The third proportional to 963,738 and 2,283,148.27 is: 5,408,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,738 : 2,283,148.27 = 2,283,148.27 : x
  2. Step 2: Convert to fraction form
    963,738/2,283,148.27 = 2,283,148.27/x
  3. Step 3: Cross multiply
    963,738x = 2,283,148.27 × 2,283,148.27
  4. Step 4: Simplify right side
    963,738x = 5,212,766,002,826.45
  5. Step 5: Solve for x
    x = 5,212,766,002,826.45/963,738
  6. Step 6: Final answer
    x = 5,408,903.67

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.