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Finding the Third Proportional to 507,618.75 and 1,083,738

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Solution

The third proportional to 507,618.75 and 1,083,738 is: 2,313,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,618.75 : 1,083,738 = 1,083,738 : x
  2. Step 2: Convert to fraction form
    507,618.75/1,083,738 = 1,083,738/x
  3. Step 3: Cross multiply
    507,618.75x = 1,083,738 × 1,083,738
  4. Step 4: Simplify right side
    507,618.75x = 1,174,488,052,644
  5. Step 5: Solve for x
    x = 1,174,488,052,644/507,618.75
  6. Step 6: Final answer
    x = 2,313,720.78

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.