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Finding the Third Proportional to 762,120 and 1,629,168

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Solution

The third proportional to 762,120 and 1,629,168 is: 3,482,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,120 : 1,629,168 = 1,629,168 : x
  2. Step 2: Convert to fraction form
    762,120/1,629,168 = 1,629,168/x
  3. Step 3: Cross multiply
    762,120x = 1,629,168 × 1,629,168
  4. Step 4: Simplify right side
    762,120x = 2,654,188,372,224
  5. Step 5: Solve for x
    x = 2,654,188,372,224/762,120
  6. Step 6: Final answer
    x = 3,482,638.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.