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Finding the Third Proportional to 2,008,320.75 and 4,414,675.50

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Solution

The third proportional to 2,008,320.75 and 4,414,675.50 is: 9,704,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008,320.75 : 4,414,675.50 = 4,414,675.50 : x
  2. Step 2: Convert to fraction form
    2,008,320.75/4,414,675.50 = 4,414,675.50/x
  3. Step 3: Cross multiply
    2,008,320.75x = 4,414,675.50 × 4,414,675.50
  4. Step 4: Simplify right side
    2,008,320.75x = 19,489,359,770,300.25
  5. Step 5: Solve for x
    x = 19,489,359,770,300.25/2,008,320.75
  6. Step 6: Final answer
    x = 9,704,306.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.