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Finding the Third Proportional to 778,233 and 1,704,084

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Solution

The third proportional to 778,233 and 1,704,084 is: 3,731,404.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,233 : 1,704,084 = 1,704,084 : x
  2. Step 2: Convert to fraction form
    778,233/1,704,084 = 1,704,084/x
  3. Step 3: Cross multiply
    778,233x = 1,704,084 × 1,704,084
  4. Step 4: Simplify right side
    778,233x = 2,903,902,279,056
  5. Step 5: Solve for x
    x = 2,903,902,279,056/778,233
  6. Step 6: Final answer
    x = 3,731,404.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.