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Finding the Third Proportional to 789,460 and 1,736,382

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Solution

The third proportional to 789,460 and 1,736,382 is: 3,819,094.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,460 : 1,736,382 = 1,736,382 : x
  2. Step 2: Convert to fraction form
    789,460/1,736,382 = 1,736,382/x
  3. Step 3: Cross multiply
    789,460x = 1,736,382 × 1,736,382
  4. Step 4: Simplify right side
    789,460x = 3,015,022,449,924
  5. Step 5: Solve for x
    x = 3,015,022,449,924/789,460
  6. Step 6: Final answer
    x = 3,819,094.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.