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Finding the Third Proportional to 496,089 and 1,086,763.50

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Solution

The third proportional to 496,089 and 1,086,763.50 is: 2,380,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,089 : 1,086,763.50 = 1,086,763.50 : x
  2. Step 2: Convert to fraction form
    496,089/1,086,763.50 = 1,086,763.50/x
  3. Step 3: Cross multiply
    496,089x = 1,086,763.50 × 1,086,763.50
  4. Step 4: Simplify right side
    496,089x = 1,181,054,904,932.25
  5. Step 5: Solve for x
    x = 1,181,054,904,932.25/496,089
  6. Step 6: Final answer
    x = 2,380,731.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.