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Finding the Third Proportional to 1,524,685.50 and 2,032,632

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Solution

The third proportional to 1,524,685.50 and 2,032,632 is: 2,709,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,685.50 : 2,032,632 = 2,032,632 : x
  2. Step 2: Convert to fraction form
    1,524,685.50/2,032,632 = 2,032,632/x
  3. Step 3: Cross multiply
    1,524,685.50x = 2,032,632 × 2,032,632
  4. Step 4: Simplify right side
    1,524,685.50x = 4,131,592,847,424
  5. Step 5: Solve for x
    x = 4,131,592,847,424/1,524,685.50
  6. Step 6: Final answer
    x = 2,709,800.05

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Why These Related Problems?

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