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Finding the Third Proportional to 1,790,247.45 and 3,663,225

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Solution

The third proportional to 1,790,247.45 and 3,663,225 is: 7,495,733.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,790,247.45 : 3,663,225 = 3,663,225 : x
  2. Step 2: Convert to fraction form
    1,790,247.45/3,663,225 = 3,663,225/x
  3. Step 3: Cross multiply
    1,790,247.45x = 3,663,225 × 3,663,225
  4. Step 4: Simplify right side
    1,790,247.45x = 13,419,217,400,625
  5. Step 5: Solve for x
    x = 13,419,217,400,625/1,790,247.45
  6. Step 6: Final answer
    x = 7,495,733.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.