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Finding the Third Proportional to 2,806,141.50 and 4,519,314

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Solution

The third proportional to 2,806,141.50 and 4,519,314 is: 7,278,392.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,806,141.50 : 4,519,314 = 4,519,314 : x
  2. Step 2: Convert to fraction form
    2,806,141.50/4,519,314 = 4,519,314/x
  3. Step 3: Cross multiply
    2,806,141.50x = 4,519,314 × 4,519,314
  4. Step 4: Simplify right side
    2,806,141.50x = 20,424,199,030,596
  5. Step 5: Solve for x
    x = 20,424,199,030,596/2,806,141.50
  6. Step 6: Final answer
    x = 7,278,392.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.