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Finding the Third Proportional to 1,729,082 and 2,778,141

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Solution

The third proportional to 1,729,082 and 2,778,141 is: 4,463,679.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,082 : 2,778,141 = 2,778,141 : x
  2. Step 2: Convert to fraction form
    1,729,082/2,778,141 = 2,778,141/x
  3. Step 3: Cross multiply
    1,729,082x = 2,778,141 × 2,778,141
  4. Step 4: Simplify right side
    1,729,082x = 7,718,067,415,881
  5. Step 5: Solve for x
    x = 7,718,067,415,881/1,729,082
  6. Step 6: Final answer
    x = 4,463,679.23

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.