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Finding the Third Proportional to 770,441.50 and 1,185,733.50

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Solution

The third proportional to 770,441.50 and 1,185,733.50 is: 1,824,880.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,441.50 : 1,185,733.50 = 1,185,733.50 : x
  2. Step 2: Convert to fraction form
    770,441.50/1,185,733.50 = 1,185,733.50/x
  3. Step 3: Cross multiply
    770,441.50x = 1,185,733.50 × 1,185,733.50
  4. Step 4: Simplify right side
    770,441.50x = 1,405,963,933,022.25
  5. Step 5: Solve for x
    x = 1,405,963,933,022.25/770,441.50
  6. Step 6: Final answer
    x = 1,824,880.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.