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Finding the Third Proportional to 2,122,178.25 and 4,603,233.75

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Solution

The third proportional to 2,122,178.25 and 4,603,233.75 is: 9,984,911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,178.25 : 4,603,233.75 = 4,603,233.75 : x
  2. Step 2: Convert to fraction form
    2,122,178.25/4,603,233.75 = 4,603,233.75/x
  3. Step 3: Cross multiply
    2,122,178.25x = 4,603,233.75 × 4,603,233.75
  4. Step 4: Simplify right side
    2,122,178.25x = 21,189,760,957,139.06
  5. Step 5: Solve for x
    x = 21,189,760,957,139.06/2,122,178.25
  6. Step 6: Final answer
    x = 9,984,911.00

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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.