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Finding the Third Proportional to 614,304 and 1,339,956

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Solution

The third proportional to 614,304 and 1,339,956 is: 2,922,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,304 : 1,339,956 = 1,339,956 : x
  2. Step 2: Convert to fraction form
    614,304/1,339,956 = 1,339,956/x
  3. Step 3: Cross multiply
    614,304x = 1,339,956 × 1,339,956
  4. Step 4: Simplify right side
    614,304x = 1,795,482,081,936
  5. Step 5: Solve for x
    x = 1,795,482,081,936/614,304
  6. Step 6: Final answer
    x = 2,922,790.80

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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.