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Finding the Third Proportional to 642,496.50 and 1,428,606

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Solution

The third proportional to 642,496.50 and 1,428,606 is: 3,176,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,496.50 : 1,428,606 = 1,428,606 : x
  2. Step 2: Convert to fraction form
    642,496.50/1,428,606 = 1,428,606/x
  3. Step 3: Cross multiply
    642,496.50x = 1,428,606 × 1,428,606
  4. Step 4: Simplify right side
    642,496.50x = 2,040,915,103,236
  5. Step 5: Solve for x
    x = 2,040,915,103,236/642,496.50
  6. Step 6: Final answer
    x = 3,176,538.87

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