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Finding the Third Proportional to 876,462.75 and 1,320,459.75

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Solution

The third proportional to 876,462.75 and 1,320,459.75 is: 1,989,375.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,462.75 : 1,320,459.75 = 1,320,459.75 : x
  2. Step 2: Convert to fraction form
    876,462.75/1,320,459.75 = 1,320,459.75/x
  3. Step 3: Cross multiply
    876,462.75x = 1,320,459.75 × 1,320,459.75
  4. Step 4: Simplify right side
    876,462.75x = 1,743,613,951,370.06
  5. Step 5: Solve for x
    x = 1,743,613,951,370.06/876,462.75
  6. Step 6: Final answer
    x = 1,989,375.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.