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Finding the Third Proportional to 1,969,759.50 and 4,233,774

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Solution

The third proportional to 1,969,759.50 and 4,233,774 is: 9,100,015.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,759.50 : 4,233,774 = 4,233,774 : x
  2. Step 2: Convert to fraction form
    1,969,759.50/4,233,774 = 4,233,774/x
  3. Step 3: Cross multiply
    1,969,759.50x = 4,233,774 × 4,233,774
  4. Step 4: Simplify right side
    1,969,759.50x = 17,924,842,283,076
  5. Step 5: Solve for x
    x = 17,924,842,283,076/1,969,759.50
  6. Step 6: Final answer
    x = 9,100,015.65

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Why These Related Problems?

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