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Finding the Third Proportional to 802,422.75 and 1,190,374.50

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Solution

The third proportional to 802,422.75 and 1,190,374.50 is: 1,765,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,422.75 : 1,190,374.50 = 1,190,374.50 : x
  2. Step 2: Convert to fraction form
    802,422.75/1,190,374.50 = 1,190,374.50/x
  3. Step 3: Cross multiply
    802,422.75x = 1,190,374.50 × 1,190,374.50
  4. Step 4: Simplify right side
    802,422.75x = 1,416,991,450,250.25
  5. Step 5: Solve for x
    x = 1,416,991,450,250.25/802,422.75
  6. Step 6: Final answer
    x = 1,765,891.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.