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Finding the Third Proportional to 1,178,633 and 2,573,165

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Solution

The third proportional to 1,178,633 and 2,573,165 is: 5,617,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,633 : 2,573,165 = 2,573,165 : x
  2. Step 2: Convert to fraction form
    1,178,633/2,573,165 = 2,573,165/x
  3. Step 3: Cross multiply
    1,178,633x = 2,573,165 × 2,573,165
  4. Step 4: Simplify right side
    1,178,633x = 6,621,178,117,225
  5. Step 5: Solve for x
    x = 6,621,178,117,225/1,178,633
  6. Step 6: Final answer
    x = 5,617,675.83

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Why These Related Problems?

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