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Finding the Third Proportional to 545,205.94 and 1,189,553.03

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Solution

The third proportional to 545,205.94 and 1,189,553.03 is: 2,595,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,205.94 : 1,189,553.03 = 1,189,553.03 : x
  2. Step 2: Convert to fraction form
    545,205.94/1,189,553.03 = 1,189,553.03/x
  3. Step 3: Cross multiply
    545,205.94x = 1,189,553.03 × 1,189,553.03
  4. Step 4: Simplify right side
    545,205.94x = 1,415,036,404,862.80
  5. Step 5: Solve for x
    x = 1,415,036,404,862.80/545,205.94
  6. Step 6: Final answer
    x = 2,595,416.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.