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Finding the Third Proportional to 789,438 and 1,736,340

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Solution

The third proportional to 789,438 and 1,736,340 is: 3,819,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,438 : 1,736,340 = 1,736,340 : x
  2. Step 2: Convert to fraction form
    789,438/1,736,340 = 1,736,340/x
  3. Step 3: Cross multiply
    789,438x = 1,736,340 × 1,736,340
  4. Step 4: Simplify right side
    789,438x = 3,014,876,595,600
  5. Step 5: Solve for x
    x = 3,014,876,595,600/789,438
  6. Step 6: Final answer
    x = 3,819,016.31

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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.