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Finding the Third Proportional to 778,933 and 1,619,783

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Solution

The third proportional to 778,933 and 1,619,783 is: 3,368,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,933 : 1,619,783 = 1,619,783 : x
  2. Step 2: Convert to fraction form
    778,933/1,619,783 = 1,619,783/x
  3. Step 3: Cross multiply
    778,933x = 1,619,783 × 1,619,783
  4. Step 4: Simplify right side
    778,933x = 2,623,696,967,089
  5. Step 5: Solve for x
    x = 2,623,696,967,089/778,933
  6. Step 6: Final answer
    x = 3,368,321.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.