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Finding the Third Proportional to 816,378.75 and 1,741,029.75

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Solution

The third proportional to 816,378.75 and 1,741,029.75 is: 3,712,963.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,378.75 : 1,741,029.75 = 1,741,029.75 : x
  2. Step 2: Convert to fraction form
    816,378.75/1,741,029.75 = 1,741,029.75/x
  3. Step 3: Cross multiply
    816,378.75x = 1,741,029.75 × 1,741,029.75
  4. Step 4: Simplify right side
    816,378.75x = 3,031,184,590,385.06
  5. Step 5: Solve for x
    x = 3,031,184,590,385.06/816,378.75
  6. Step 6: Final answer
    x = 3,712,963.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.