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Finding the Third Proportional to 819,462 and 1,788,360

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Solution

The third proportional to 819,462 and 1,788,360 is: 3,902,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,462 : 1,788,360 = 1,788,360 : x
  2. Step 2: Convert to fraction form
    819,462/1,788,360 = 1,788,360/x
  3. Step 3: Cross multiply
    819,462x = 1,788,360 × 1,788,360
  4. Step 4: Simplify right side
    819,462x = 3,198,231,489,600
  5. Step 5: Solve for x
    x = 3,198,231,489,600/819,462
  6. Step 6: Final answer
    x = 3,902,842.95

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.