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Finding the Third Proportional to 851,518 and 1,419,135

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Solution

The third proportional to 851,518 and 1,419,135 is: 2,365,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,518 : 1,419,135 = 1,419,135 : x
  2. Step 2: Convert to fraction form
    851,518/1,419,135 = 1,419,135/x
  3. Step 3: Cross multiply
    851,518x = 1,419,135 × 1,419,135
  4. Step 4: Simplify right side
    851,518x = 2,013,944,148,225
  5. Step 5: Solve for x
    x = 2,013,944,148,225/851,518
  6. Step 6: Final answer
    x = 2,365,122.23

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.