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Finding the Third Proportional to 419,611.50 and 916,069.50

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Solution

The third proportional to 419,611.50 and 916,069.50 is: 1,999,905.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,611.50 : 916,069.50 = 916,069.50 : x
  2. Step 2: Convert to fraction form
    419,611.50/916,069.50 = 916,069.50/x
  3. Step 3: Cross multiply
    419,611.50x = 916,069.50 × 916,069.50
  4. Step 4: Simplify right side
    419,611.50x = 839,183,328,830.25
  5. Step 5: Solve for x
    x = 839,183,328,830.25/419,611.50
  6. Step 6: Final answer
    x = 1,999,905.46

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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.