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Finding the Third Proportional to 1,213,425 and 2,640,811.50

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Solution

The third proportional to 1,213,425 and 2,640,811.50 is: 5,747,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,425 : 2,640,811.50 = 2,640,811.50 : x
  2. Step 2: Convert to fraction form
    1,213,425/2,640,811.50 = 2,640,811.50/x
  3. Step 3: Cross multiply
    1,213,425x = 2,640,811.50 × 2,640,811.50
  4. Step 4: Simplify right side
    1,213,425x = 6,973,885,378,532.25
  5. Step 5: Solve for x
    x = 6,973,885,378,532.25/1,213,425
  6. Step 6: Final answer
    x = 5,747,273.53

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