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Finding the Third Proportional to 785,865 and 1,718,847

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Solution

The third proportional to 785,865 and 1,718,847 is: 3,759,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,865 : 1,718,847 = 1,718,847 : x
  2. Step 2: Convert to fraction form
    785,865/1,718,847 = 1,718,847/x
  3. Step 3: Cross multiply
    785,865x = 1,718,847 × 1,718,847
  4. Step 4: Simplify right side
    785,865x = 2,954,435,009,409
  5. Step 5: Solve for x
    x = 2,954,435,009,409/785,865
  6. Step 6: Final answer
    x = 3,759,468.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.