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Finding the Third Proportional to 1,833,682.50 and 3,982,914

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Solution

The third proportional to 1,833,682.50 and 3,982,914 is: 8,651,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833,682.50 : 3,982,914 = 3,982,914 : x
  2. Step 2: Convert to fraction form
    1,833,682.50/3,982,914 = 3,982,914/x
  3. Step 3: Cross multiply
    1,833,682.50x = 3,982,914 × 3,982,914
  4. Step 4: Simplify right side
    1,833,682.50x = 15,863,603,931,396
  5. Step 5: Solve for x
    x = 15,863,603,931,396/1,833,682.50
  6. Step 6: Final answer
    x = 8,651,227.21

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Why These Related Problems?

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