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Finding the Third Proportional to 774,373 and 1,660,811

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Solution

The third proportional to 774,373 and 1,660,811 is: 3,561,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,373 : 1,660,811 = 1,660,811 : x
  2. Step 2: Convert to fraction form
    774,373/1,660,811 = 1,660,811/x
  3. Step 3: Cross multiply
    774,373x = 1,660,811 × 1,660,811
  4. Step 4: Simplify right side
    774,373x = 2,758,293,177,721
  5. Step 5: Solve for x
    x = 2,758,293,177,721/774,373
  6. Step 6: Final answer
    x = 3,561,969.72

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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.