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Finding the Third Proportional to 1,777,842 and 2,824,227

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Solution

The third proportional to 1,777,842 and 2,824,227 is: 4,486,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777,842 : 2,824,227 = 2,824,227 : x
  2. Step 2: Convert to fraction form
    1,777,842/2,824,227 = 2,824,227/x
  3. Step 3: Cross multiply
    1,777,842x = 2,824,227 × 2,824,227
  4. Step 4: Simplify right side
    1,777,842x = 7,976,258,147,529
  5. Step 5: Solve for x
    x = 7,976,258,147,529/1,777,842
  6. Step 6: Final answer
    x = 4,486,483.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.