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Finding the Third Proportional to 642,493.50 and 1,428,599.25

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Solution

The third proportional to 642,493.50 and 1,428,599.25 is: 3,176,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,493.50 : 1,428,599.25 = 1,428,599.25 : x
  2. Step 2: Convert to fraction form
    642,493.50/1,428,599.25 = 1,428,599.25/x
  3. Step 3: Cross multiply
    642,493.50x = 1,428,599.25 × 1,428,599.25
  4. Step 4: Simplify right side
    642,493.50x = 2,040,895,817,100.56
  5. Step 5: Solve for x
    x = 2,040,895,817,100.56/642,493.50
  6. Step 6: Final answer
    x = 3,176,523.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.