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Finding the Third Proportional to 1,665,415.50 and 3,632,019

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Solution

The third proportional to 1,665,415.50 and 3,632,019 is: 7,920,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,415.50 : 3,632,019 = 3,632,019 : x
  2. Step 2: Convert to fraction form
    1,665,415.50/3,632,019 = 3,632,019/x
  3. Step 3: Cross multiply
    1,665,415.50x = 3,632,019 × 3,632,019
  4. Step 4: Simplify right side
    1,665,415.50x = 13,191,562,016,361
  5. Step 5: Solve for x
    x = 13,191,562,016,361/1,665,415.50
  6. Step 6: Final answer
    x = 7,920,883.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.