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Finding the Third Proportional to 774,692 and 1,661,448

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Solution

The third proportional to 774,692 and 1,661,448 is: 3,563,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,692 : 1,661,448 = 1,661,448 : x
  2. Step 2: Convert to fraction form
    774,692/1,661,448 = 1,661,448/x
  3. Step 3: Cross multiply
    774,692x = 1,661,448 × 1,661,448
  4. Step 4: Simplify right side
    774,692x = 2,760,409,456,704
  5. Step 5: Solve for x
    x = 2,760,409,456,704/774,692
  6. Step 6: Final answer
    x = 3,563,234.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.