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Finding the Third Proportional to 1,741,135.50 and 3,793,099.50

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Solution

The third proportional to 1,741,135.50 and 3,793,099.50 is: 8,263,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,135.50 : 3,793,099.50 = 3,793,099.50 : x
  2. Step 2: Convert to fraction form
    1,741,135.50/3,793,099.50 = 3,793,099.50/x
  3. Step 3: Cross multiply
    1,741,135.50x = 3,793,099.50 × 3,793,099.50
  4. Step 4: Simplify right side
    1,741,135.50x = 14,387,603,816,900.25
  5. Step 5: Solve for x
    x = 14,387,603,816,900.25/1,741,135.50
  6. Step 6: Final answer
    x = 8,263,345.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.