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Finding the Third Proportional to 733,744 and 1,097,241.50

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Solution

The third proportional to 733,744 and 1,097,241.50 is: 1,640,816.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,744 : 1,097,241.50 = 1,097,241.50 : x
  2. Step 2: Convert to fraction form
    733,744/1,097,241.50 = 1,097,241.50/x
  3. Step 3: Cross multiply
    733,744x = 1,097,241.50 × 1,097,241.50
  4. Step 4: Simplify right side
    733,744x = 1,203,938,909,322.25
  5. Step 5: Solve for x
    x = 1,203,938,909,322.25/733,744
  6. Step 6: Final answer
    x = 1,640,816.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.