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Finding the Third Proportional to 1,103,163 and 1,686,821

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Solution

The third proportional to 1,103,163 and 1,686,821 is: 2,579,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,163 : 1,686,821 = 1,686,821 : x
  2. Step 2: Convert to fraction form
    1,103,163/1,686,821 = 1,686,821/x
  3. Step 3: Cross multiply
    1,103,163x = 1,686,821 × 1,686,821
  4. Step 4: Simplify right side
    1,103,163x = 2,845,365,086,041
  5. Step 5: Solve for x
    x = 2,845,365,086,041/1,103,163
  6. Step 6: Final answer
    x = 2,579,278.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.