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Finding the Third Proportional to 403,794 and 874,457

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Solution

The third proportional to 403,794 and 874,457 is: 1,893,725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,794 : 874,457 = 874,457 : x
  2. Step 2: Convert to fraction form
    403,794/874,457 = 874,457/x
  3. Step 3: Cross multiply
    403,794x = 874,457 × 874,457
  4. Step 4: Simplify right side
    403,794x = 764,675,044,849
  5. Step 5: Solve for x
    x = 764,675,044,849/403,794
  6. Step 6: Final answer
    x = 1,893,725.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.