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Finding the Third Proportional to 669,794.06 and 1,006,200.56

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Solution

The third proportional to 669,794.06 and 1,006,200.56 is: 1,511,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,794.06 : 1,006,200.56 = 1,006,200.56 : x
  2. Step 2: Convert to fraction form
    669,794.06/1,006,200.56 = 1,006,200.56/x
  3. Step 3: Cross multiply
    669,794.06x = 1,006,200.56 × 1,006,200.56
  4. Step 4: Simplify right side
    669,794.06x = 1,012,439,571,975.32
  5. Step 5: Solve for x
    x = 1,012,439,571,975.32/669,794.06
  6. Step 6: Final answer
    x = 1,511,568.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.