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Finding the Third Proportional to 621,842 and 1,318,414

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Solution

The third proportional to 621,842 and 1,318,414 is: 2,795,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,842 : 1,318,414 = 1,318,414 : x
  2. Step 2: Convert to fraction form
    621,842/1,318,414 = 1,318,414/x
  3. Step 3: Cross multiply
    621,842x = 1,318,414 × 1,318,414
  4. Step 4: Simplify right side
    621,842x = 1,738,215,475,396
  5. Step 5: Solve for x
    x = 1,738,215,475,396/621,842
  6. Step 6: Final answer
    x = 2,795,268.69

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.