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Finding the Third Proportional to 1,532,863.50 and 3,224,523

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Solution

The third proportional to 1,532,863.50 and 3,224,523 is: 6,783,088.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532,863.50 : 3,224,523 = 3,224,523 : x
  2. Step 2: Convert to fraction form
    1,532,863.50/3,224,523 = 3,224,523/x
  3. Step 3: Cross multiply
    1,532,863.50x = 3,224,523 × 3,224,523
  4. Step 4: Simplify right side
    1,532,863.50x = 10,397,548,577,529
  5. Step 5: Solve for x
    x = 10,397,548,577,529/1,532,863.50
  6. Step 6: Final answer
    x = 6,783,088.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.