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Finding the Third Proportional to 733,626 and 1,546,834.50

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Solution

The third proportional to 733,626 and 1,546,834.50 is: 3,261,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,626 : 1,546,834.50 = 1,546,834.50 : x
  2. Step 2: Convert to fraction form
    733,626/1,546,834.50 = 1,546,834.50/x
  3. Step 3: Cross multiply
    733,626x = 1,546,834.50 × 1,546,834.50
  4. Step 4: Simplify right side
    733,626x = 2,392,696,970,390.25
  5. Step 5: Solve for x
    x = 2,392,696,970,390.25/733,626
  6. Step 6: Final answer
    x = 3,261,466.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.