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Finding the Third Proportional to 791,606 and 1,866,821

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Solution

The third proportional to 791,606 and 1,866,821 is: 4,402,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,606 : 1,866,821 = 1,866,821 : x
  2. Step 2: Convert to fraction form
    791,606/1,866,821 = 1,866,821/x
  3. Step 3: Cross multiply
    791,606x = 1,866,821 × 1,866,821
  4. Step 4: Simplify right side
    791,606x = 3,485,020,646,041
  5. Step 5: Solve for x
    x = 3,485,020,646,041/791,606
  6. Step 6: Final answer
    x = 4,402,468.71

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.