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Finding the Third Proportional to 603,537.75 and 1,305,082.13

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Solution

The third proportional to 603,537.75 and 1,305,082.13 is: 2,822,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,537.75 : 1,305,082.13 = 1,305,082.13 : x
  2. Step 2: Convert to fraction form
    603,537.75/1,305,082.13 = 1,305,082.13/x
  3. Step 3: Cross multiply
    603,537.75x = 1,305,082.13 × 1,305,082.13
  4. Step 4: Simplify right side
    603,537.75x = 1,703,239,352,994.52
  5. Step 5: Solve for x
    x = 1,703,239,352,994.52/603,537.75
  6. Step 6: Final answer
    x = 2,822,092.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.