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Finding the Third Proportional to 427,589.75 and 929,603.75

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Solution

The third proportional to 427,589.75 and 929,603.75 is: 2,021,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,589.75 : 929,603.75 = 929,603.75 : x
  2. Step 2: Convert to fraction form
    427,589.75/929,603.75 = 929,603.75/x
  3. Step 3: Cross multiply
    427,589.75x = 929,603.75 × 929,603.75
  4. Step 4: Simplify right side
    427,589.75x = 864,163,132,014.06
  5. Step 5: Solve for x
    x = 864,163,132,014.06/427,589.75
  6. Step 6: Final answer
    x = 2,021,009.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.