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Finding the Third Proportional to 789,464 and 1,736,390

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Solution

The third proportional to 789,464 and 1,736,390 is: 3,819,110.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,464 : 1,736,390 = 1,736,390 : x
  2. Step 2: Convert to fraction form
    789,464/1,736,390 = 1,736,390/x
  3. Step 3: Cross multiply
    789,464x = 1,736,390 × 1,736,390
  4. Step 4: Simplify right side
    789,464x = 3,015,050,232,100
  5. Step 5: Solve for x
    x = 3,015,050,232,100/789,464
  6. Step 6: Final answer
    x = 3,819,110.48

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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.