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Finding the Third Proportional to 788,192 and 1,694,644

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Solution

The third proportional to 788,192 and 1,694,644 is: 3,643,551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,192 : 1,694,644 = 1,694,644 : x
  2. Step 2: Convert to fraction form
    788,192/1,694,644 = 1,694,644/x
  3. Step 3: Cross multiply
    788,192x = 1,694,644 × 1,694,644
  4. Step 4: Simplify right side
    788,192x = 2,871,818,286,736
  5. Step 5: Solve for x
    x = 2,871,818,286,736/788,192
  6. Step 6: Final answer
    x = 3,643,551.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.