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Finding the Third Proportional to 4,122,145.50 and 5,695,922.25

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Solution

The third proportional to 4,122,145.50 and 5,695,922.25 is: 7,870,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,122,145.50 : 5,695,922.25 = 5,695,922.25 : x
  2. Step 2: Convert to fraction form
    4,122,145.50/5,695,922.25 = 5,695,922.25/x
  3. Step 3: Cross multiply
    4,122,145.50x = 5,695,922.25 × 5,695,922.25
  4. Step 4: Simplify right side
    4,122,145.50x = 32,443,530,278,045.06
  5. Step 5: Solve for x
    x = 32,443,530,278,045.06/4,122,145.50
  6. Step 6: Final answer
    x = 7,870,544.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.