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Finding the Third Proportional to 1,738,630.50 and 3,786,153

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Solution

The third proportional to 1,738,630.50 and 3,786,153 is: 8,244,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,630.50 : 3,786,153 = 3,786,153 : x
  2. Step 2: Convert to fraction form
    1,738,630.50/3,786,153 = 3,786,153/x
  3. Step 3: Cross multiply
    1,738,630.50x = 3,786,153 × 3,786,153
  4. Step 4: Simplify right side
    1,738,630.50x = 14,334,954,539,409
  5. Step 5: Solve for x
    x = 14,334,954,539,409/1,738,630.50
  6. Step 6: Final answer
    x = 8,244,968.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.