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Finding the Third Proportional to 4,152,586.50 and 6,284,223

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Solution

The third proportional to 4,152,586.50 and 6,284,223 is: 9,510,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152,586.50 : 6,284,223 = 6,284,223 : x
  2. Step 2: Convert to fraction form
    4,152,586.50/6,284,223 = 6,284,223/x
  3. Step 3: Cross multiply
    4,152,586.50x = 6,284,223 × 6,284,223
  4. Step 4: Simplify right side
    4,152,586.50x = 39,491,458,713,729
  5. Step 5: Solve for x
    x = 39,491,458,713,729/4,152,586.50
  6. Step 6: Final answer
    x = 9,510,086.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.