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Finding the Third Proportional to 812,766 and 1,265,685

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Solution

The third proportional to 812,766 and 1,265,685 is: 1,970,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,766 : 1,265,685 = 1,265,685 : x
  2. Step 2: Convert to fraction form
    812,766/1,265,685 = 1,265,685/x
  3. Step 3: Cross multiply
    812,766x = 1,265,685 × 1,265,685
  4. Step 4: Simplify right side
    812,766x = 1,601,958,519,225
  5. Step 5: Solve for x
    x = 1,601,958,519,225/812,766
  6. Step 6: Final answer
    x = 1,970,995.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.