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Finding the Third Proportional to 614,063 and 1,327,999

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Solution

The third proportional to 614,063 and 1,327,999 is: 2,871,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,063 : 1,327,999 = 1,327,999 : x
  2. Step 2: Convert to fraction form
    614,063/1,327,999 = 1,327,999/x
  3. Step 3: Cross multiply
    614,063x = 1,327,999 × 1,327,999
  4. Step 4: Simplify right side
    614,063x = 1,763,581,344,001
  5. Step 5: Solve for x
    x = 1,763,581,344,001/614,063
  6. Step 6: Final answer
    x = 2,871,987.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.