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Finding the Third Proportional to 473,940 and 1,133,212.50

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Solution

The third proportional to 473,940 and 1,133,212.50 is: 2,709,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,940 : 1,133,212.50 = 1,133,212.50 : x
  2. Step 2: Convert to fraction form
    473,940/1,133,212.50 = 1,133,212.50/x
  3. Step 3: Cross multiply
    473,940x = 1,133,212.50 × 1,133,212.50
  4. Step 4: Simplify right side
    473,940x = 1,284,170,570,156.25
  5. Step 5: Solve for x
    x = 1,284,170,570,156.25/473,940
  6. Step 6: Final answer
    x = 2,709,563.59

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These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.