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Finding the Third Proportional to 952,537 and 1,451,137.50

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Solution

The third proportional to 952,537 and 1,451,137.50 is: 2,210,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,537 : 1,451,137.50 = 1,451,137.50 : x
  2. Step 2: Convert to fraction form
    952,537/1,451,137.50 = 1,451,137.50/x
  3. Step 3: Cross multiply
    952,537x = 1,451,137.50 × 1,451,137.50
  4. Step 4: Simplify right side
    952,537x = 2,105,800,043,906.25
  5. Step 5: Solve for x
    x = 2,105,800,043,906.25/952,537
  6. Step 6: Final answer
    x = 2,210,727.82

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.