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Finding the Third Proportional to 706,243.50 and 1,543,635

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Solution

The third proportional to 706,243.50 and 1,543,635 is: 3,373,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,243.50 : 1,543,635 = 1,543,635 : x
  2. Step 2: Convert to fraction form
    706,243.50/1,543,635 = 1,543,635/x
  3. Step 3: Cross multiply
    706,243.50x = 1,543,635 × 1,543,635
  4. Step 4: Simplify right side
    706,243.50x = 2,382,809,013,225
  5. Step 5: Solve for x
    x = 2,382,809,013,225/706,243.50
  6. Step 6: Final answer
    x = 3,373,919.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.