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Finding the Third Proportional to 2,468,914.50 and 3,523,743

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Solution

The third proportional to 2,468,914.50 and 3,523,743 is: 5,029,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468,914.50 : 3,523,743 = 3,523,743 : x
  2. Step 2: Convert to fraction form
    2,468,914.50/3,523,743 = 3,523,743/x
  3. Step 3: Cross multiply
    2,468,914.50x = 3,523,743 × 3,523,743
  4. Step 4: Simplify right side
    2,468,914.50x = 12,416,764,730,049
  5. Step 5: Solve for x
    x = 12,416,764,730,049/2,468,914.50
  6. Step 6: Final answer
    x = 5,029,240.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.