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Finding the Third Proportional to 812,895.75 and 1,143,723.38

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Solution

The third proportional to 812,895.75 and 1,143,723.38 is: 1,609,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,895.75 : 1,143,723.38 = 1,143,723.38 : x
  2. Step 2: Convert to fraction form
    812,895.75/1,143,723.38 = 1,143,723.38/x
  3. Step 3: Cross multiply
    812,895.75x = 1,143,723.38 × 1,143,723.38
  4. Step 4: Simplify right side
    812,895.75x = 1,308,103,158,521.39
  5. Step 5: Solve for x
    x = 1,308,103,158,521.39/812,895.75
  6. Step 6: Final answer
    x = 1,609,189.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.