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Finding the Third Proportional to 826,593 and 1,245,965

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Solution

The third proportional to 826,593 and 1,245,965 is: 1,878,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,593 : 1,245,965 = 1,245,965 : x
  2. Step 2: Convert to fraction form
    826,593/1,245,965 = 1,245,965/x
  3. Step 3: Cross multiply
    826,593x = 1,245,965 × 1,245,965
  4. Step 4: Simplify right side
    826,593x = 1,552,428,781,225
  5. Step 5: Solve for x
    x = 1,552,428,781,225/826,593
  6. Step 6: Final answer
    x = 1,878,105.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.