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Finding the Third Proportional to 807,084 and 1,770,903

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Solution

The third proportional to 807,084 and 1,770,903 is: 3,885,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,084 : 1,770,903 = 1,770,903 : x
  2. Step 2: Convert to fraction form
    807,084/1,770,903 = 1,770,903/x
  3. Step 3: Cross multiply
    807,084x = 1,770,903 × 1,770,903
  4. Step 4: Simplify right side
    807,084x = 3,136,097,435,409
  5. Step 5: Solve for x
    x = 3,136,097,435,409/807,084
  6. Step 6: Final answer
    x = 3,885,713.80

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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.