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Finding the Third Proportional to 960,842 and 1,391,619

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Solution

The third proportional to 960,842 and 1,391,619 is: 2,015,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,842 : 1,391,619 = 1,391,619 : x
  2. Step 2: Convert to fraction form
    960,842/1,391,619 = 1,391,619/x
  3. Step 3: Cross multiply
    960,842x = 1,391,619 × 1,391,619
  4. Step 4: Simplify right side
    960,842x = 1,936,603,441,161
  5. Step 5: Solve for x
    x = 1,936,603,441,161/960,842
  6. Step 6: Final answer
    x = 2,015,527.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.