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Finding the Third Proportional to 413,608 and 868,950

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Solution

The third proportional to 413,608 and 868,950 is: 1,825,579.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,608 : 868,950 = 868,950 : x
  2. Step 2: Convert to fraction form
    413,608/868,950 = 868,950/x
  3. Step 3: Cross multiply
    413,608x = 868,950 × 868,950
  4. Step 4: Simplify right side
    413,608x = 755,074,102,500
  5. Step 5: Solve for x
    x = 755,074,102,500/413,608
  6. Step 6: Final answer
    x = 1,825,579.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.