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Finding the Third Proportional to 788,294 and 1,694,686

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Solution

The third proportional to 788,294 and 1,694,686 is: 3,643,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,294 : 1,694,686 = 1,694,686 : x
  2. Step 2: Convert to fraction form
    788,294/1,694,686 = 1,694,686/x
  3. Step 3: Cross multiply
    788,294x = 1,694,686 × 1,694,686
  4. Step 4: Simplify right side
    788,294x = 2,871,960,638,596
  5. Step 5: Solve for x
    x = 2,871,960,638,596/788,294
  6. Step 6: Final answer
    x = 3,643,260.81

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