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Finding the Third Proportional to 454,409 and 955,825

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Solution

The third proportional to 454,409 and 955,825 is: 2,010,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,409 : 955,825 = 955,825 : x
  2. Step 2: Convert to fraction form
    454,409/955,825 = 955,825/x
  3. Step 3: Cross multiply
    454,409x = 955,825 × 955,825
  4. Step 4: Simplify right side
    454,409x = 913,601,430,625
  5. Step 5: Solve for x
    x = 913,601,430,625/454,409
  6. Step 6: Final answer
    x = 2,010,526.71

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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.