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Finding the Third Proportional to 772,081 and 1,113,821

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Solution

The third proportional to 772,081 and 1,113,821 is: 1,606,822.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,081 : 1,113,821 = 1,113,821 : x
  2. Step 2: Convert to fraction form
    772,081/1,113,821 = 1,113,821/x
  3. Step 3: Cross multiply
    772,081x = 1,113,821 × 1,113,821
  4. Step 4: Simplify right side
    772,081x = 1,240,597,220,041
  5. Step 5: Solve for x
    x = 1,240,597,220,041/772,081
  6. Step 6: Final answer
    x = 1,606,822.63

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.