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Finding the Third Proportional to 782,648 and 1,715,344

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Solution

The third proportional to 782,648 and 1,715,344 is: 3,759,550.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,648 : 1,715,344 = 1,715,344 : x
  2. Step 2: Convert to fraction form
    782,648/1,715,344 = 1,715,344/x
  3. Step 3: Cross multiply
    782,648x = 1,715,344 × 1,715,344
  4. Step 4: Simplify right side
    782,648x = 2,942,405,038,336
  5. Step 5: Solve for x
    x = 2,942,405,038,336/782,648
  6. Step 6: Final answer
    x = 3,759,550.96

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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.