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Finding the Third Proportional to 1,424,743.50 and 2,907,624

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Solution

The third proportional to 1,424,743.50 and 2,907,624 is: 5,933,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,743.50 : 2,907,624 = 2,907,624 : x
  2. Step 2: Convert to fraction form
    1,424,743.50/2,907,624 = 2,907,624/x
  3. Step 3: Cross multiply
    1,424,743.50x = 2,907,624 × 2,907,624
  4. Step 4: Simplify right side
    1,424,743.50x = 8,454,277,325,376
  5. Step 5: Solve for x
    x = 8,454,277,325,376/1,424,743.50
  6. Step 6: Final answer
    x = 5,933,894.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.