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Finding the Third Proportional to 1,178,684 and 2,573,266

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Solution

The third proportional to 1,178,684 and 2,573,266 is: 5,617,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,684 : 2,573,266 = 2,573,266 : x
  2. Step 2: Convert to fraction form
    1,178,684/2,573,266 = 2,573,266/x
  3. Step 3: Cross multiply
    1,178,684x = 2,573,266 × 2,573,266
  4. Step 4: Simplify right side
    1,178,684x = 6,621,697,906,756
  5. Step 5: Solve for x
    x = 6,621,697,906,756/1,178,684
  6. Step 6: Final answer
    x = 5,617,873.75

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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.