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Finding the Third Proportional to 807,337.50 and 1,903,121.25

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Solution

The third proportional to 807,337.50 and 1,903,121.25 is: 4,486,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,337.50 : 1,903,121.25 = 1,903,121.25 : x
  2. Step 2: Convert to fraction form
    807,337.50/1,903,121.25 = 1,903,121.25/x
  3. Step 3: Cross multiply
    807,337.50x = 1,903,121.25 × 1,903,121.25
  4. Step 4: Simplify right side
    807,337.50x = 3,621,870,492,201.56
  5. Step 5: Solve for x
    x = 3,621,870,492,201.56/807,337.50
  6. Step 6: Final answer
    x = 4,486,191.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.