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Finding the Third Proportional to 471,927 and 1,022,583

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Solution

The third proportional to 471,927 and 1,022,583 is: 2,215,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,927 : 1,022,583 = 1,022,583 : x
  2. Step 2: Convert to fraction form
    471,927/1,022,583 = 1,022,583/x
  3. Step 3: Cross multiply
    471,927x = 1,022,583 × 1,022,583
  4. Step 4: Simplify right side
    471,927x = 1,045,675,991,889
  5. Step 5: Solve for x
    x = 1,045,675,991,889/471,927
  6. Step 6: Final answer
    x = 2,215,757.93

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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.