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Finding the Third Proportional to 1,229,557.50 and 2,519,806.50

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Solution

The third proportional to 1,229,557.50 and 2,519,806.50 is: 5,163,991.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229,557.50 : 2,519,806.50 = 2,519,806.50 : x
  2. Step 2: Convert to fraction form
    1,229,557.50/2,519,806.50 = 2,519,806.50/x
  3. Step 3: Cross multiply
    1,229,557.50x = 2,519,806.50 × 2,519,806.50
  4. Step 4: Simplify right side
    1,229,557.50x = 6,349,424,797,442.25
  5. Step 5: Solve for x
    x = 6,349,424,797,442.25/1,229,557.50
  6. Step 6: Final answer
    x = 5,163,991.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.