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Finding the Third Proportional to 778,197 and 1,428,522

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Solution

The third proportional to 778,197 and 1,428,522 is: 2,622,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,197 : 1,428,522 = 1,428,522 : x
  2. Step 2: Convert to fraction form
    778,197/1,428,522 = 1,428,522/x
  3. Step 3: Cross multiply
    778,197x = 1,428,522 × 1,428,522
  4. Step 4: Simplify right side
    778,197x = 2,040,675,104,484
  5. Step 5: Solve for x
    x = 2,040,675,104,484/778,197
  6. Step 6: Final answer
    x = 2,622,311.71

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.