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Finding the Third Proportional to 827,101.13 and 1,264,982.06

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Solution

The third proportional to 827,101.13 and 1,264,982.06 is: 1,934,684.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,101.13 : 1,264,982.06 = 1,264,982.06 : x
  2. Step 2: Convert to fraction form
    827,101.13/1,264,982.06 = 1,264,982.06/x
  3. Step 3: Cross multiply
    827,101.13x = 1,264,982.06 × 1,264,982.06
  4. Step 4: Simplify right side
    827,101.13x = 1,600,179,618,446.75
  5. Step 5: Solve for x
    x = 1,600,179,618,446.75/827,101.13
  6. Step 6: Final answer
    x = 1,934,684.37

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.