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Finding the Third Proportional to 673,136 and 1,436,080

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Solution

The third proportional to 673,136 and 1,436,080 is: 3,063,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,136 : 1,436,080 = 1,436,080 : x
  2. Step 2: Convert to fraction form
    673,136/1,436,080 = 1,436,080/x
  3. Step 3: Cross multiply
    673,136x = 1,436,080 × 1,436,080
  4. Step 4: Simplify right side
    673,136x = 2,062,325,766,400
  5. Step 5: Solve for x
    x = 2,062,325,766,400/673,136
  6. Step 6: Final answer
    x = 3,063,757.94

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.