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Finding the Third Proportional to 784,611.50 and 1,212,405.50

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Solution

The third proportional to 784,611.50 and 1,212,405.50 is: 1,873,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,611.50 : 1,212,405.50 = 1,212,405.50 : x
  2. Step 2: Convert to fraction form
    784,611.50/1,212,405.50 = 1,212,405.50/x
  3. Step 3: Cross multiply
    784,611.50x = 1,212,405.50 × 1,212,405.50
  4. Step 4: Simplify right side
    784,611.50x = 1,469,927,096,430.25
  5. Step 5: Solve for x
    x = 1,469,927,096,430.25/784,611.50
  6. Step 6: Final answer
    x = 1,873,445.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.