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Finding the Third Proportional to 2,224,948.50 and 4,764,825

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Solution

The third proportional to 2,224,948.50 and 4,764,825 is: 10,204,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224,948.50 : 4,764,825 = 4,764,825 : x
  2. Step 2: Convert to fraction form
    2,224,948.50/4,764,825 = 4,764,825/x
  3. Step 3: Cross multiply
    2,224,948.50x = 4,764,825 × 4,764,825
  4. Step 4: Simplify right side
    2,224,948.50x = 22,703,557,280,625
  5. Step 5: Solve for x
    x = 22,703,557,280,625/2,224,948.50
  6. Step 6: Final answer
    x = 10,204,082.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.