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Finding the Third Proportional to 496,554.75 and 1,052,694

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Solution

The third proportional to 496,554.75 and 1,052,694 is: 2,231,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,554.75 : 1,052,694 = 1,052,694 : x
  2. Step 2: Convert to fraction form
    496,554.75/1,052,694 = 1,052,694/x
  3. Step 3: Cross multiply
    496,554.75x = 1,052,694 × 1,052,694
  4. Step 4: Simplify right side
    496,554.75x = 1,108,164,657,636
  5. Step 5: Solve for x
    x = 1,108,164,657,636/496,554.75
  6. Step 6: Final answer
    x = 2,231,706.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.