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Finding the Third Proportional to 1,523,533.50 and 2,229,217.50

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Solution

The third proportional to 1,523,533.50 and 2,229,217.50 is: 3,261,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523,533.50 : 2,229,217.50 = 2,229,217.50 : x
  2. Step 2: Convert to fraction form
    1,523,533.50/2,229,217.50 = 2,229,217.50/x
  3. Step 3: Cross multiply
    1,523,533.50x = 2,229,217.50 × 2,229,217.50
  4. Step 4: Simplify right side
    1,523,533.50x = 4,969,410,662,306.25
  5. Step 5: Solve for x
    x = 4,969,410,662,306.25/1,523,533.50
  6. Step 6: Final answer
    x = 3,261,766.59

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.