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Finding the Third Proportional to 403,747 and 874,372

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Solution

The third proportional to 403,747 and 874,372 is: 1,893,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,747 : 874,372 = 874,372 : x
  2. Step 2: Convert to fraction form
    403,747/874,372 = 874,372/x
  3. Step 3: Cross multiply
    403,747x = 874,372 × 874,372
  4. Step 4: Simplify right side
    403,747x = 764,526,394,384
  5. Step 5: Solve for x
    x = 764,526,394,384/403,747
  6. Step 6: Final answer
    x = 1,893,577.90

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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.