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Finding the Third Proportional to 739,465 and 1,591,016

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Solution

The third proportional to 739,465 and 1,591,016 is: 3,423,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,465 : 1,591,016 = 1,591,016 : x
  2. Step 2: Convert to fraction form
    739,465/1,591,016 = 1,591,016/x
  3. Step 3: Cross multiply
    739,465x = 1,591,016 × 1,591,016
  4. Step 4: Simplify right side
    739,465x = 2,531,331,912,256
  5. Step 5: Solve for x
    x = 2,531,331,912,256/739,465
  6. Step 6: Final answer
    x = 3,423,193.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.