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Finding the Third Proportional to 361,611 and 786,645

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Solution

The third proportional to 361,611 and 786,645 is: 1,711,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,611 : 786,645 = 786,645 : x
  2. Step 2: Convert to fraction form
    361,611/786,645 = 786,645/x
  3. Step 3: Cross multiply
    361,611x = 786,645 × 786,645
  4. Step 4: Simplify right side
    361,611x = 618,810,356,025
  5. Step 5: Solve for x
    x = 618,810,356,025/361,611
  6. Step 6: Final answer
    x = 1,711,259.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.