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Finding the Third Proportional to 762,057 and 1,629,171

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Solution

The third proportional to 762,057 and 1,629,171 is: 3,482,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,057 : 1,629,171 = 1,629,171 : x
  2. Step 2: Convert to fraction form
    762,057/1,629,171 = 1,629,171/x
  3. Step 3: Cross multiply
    762,057x = 1,629,171 × 1,629,171
  4. Step 4: Simplify right side
    762,057x = 2,654,198,147,241
  5. Step 5: Solve for x
    x = 2,654,198,147,241/762,057
  6. Step 6: Final answer
    x = 3,482,939.13

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Why These Related Problems?

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