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Finding the Third Proportional to 1,524,684 and 2,032,635

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Solution

The third proportional to 1,524,684 and 2,032,635 is: 2,709,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,684 : 2,032,635 = 2,032,635 : x
  2. Step 2: Convert to fraction form
    1,524,684/2,032,635 = 2,032,635/x
  3. Step 3: Cross multiply
    1,524,684x = 2,032,635 × 2,032,635
  4. Step 4: Simplify right side
    1,524,684x = 4,131,605,043,225
  5. Step 5: Solve for x
    x = 4,131,605,043,225/1,524,684
  6. Step 6: Final answer
    x = 2,709,810.72

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.