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Finding the Third Proportional to 762,780 and 1,626,864

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Solution

The third proportional to 762,780 and 1,626,864 is: 3,469,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,780 : 1,626,864 = 1,626,864 : x
  2. Step 2: Convert to fraction form
    762,780/1,626,864 = 1,626,864/x
  3. Step 3: Cross multiply
    762,780x = 1,626,864 × 1,626,864
  4. Step 4: Simplify right side
    762,780x = 2,646,686,474,496
  5. Step 5: Solve for x
    x = 2,646,686,474,496/762,780
  6. Step 6: Final answer
    x = 3,469,790.08

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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.