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Finding the Third Proportional to 874,591 and 1,314,586.50

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Solution

The third proportional to 874,591 and 1,314,586.50 is: 1,975,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,591 : 1,314,586.50 = 1,314,586.50 : x
  2. Step 2: Convert to fraction form
    874,591/1,314,586.50 = 1,314,586.50/x
  3. Step 3: Cross multiply
    874,591x = 1,314,586.50 × 1,314,586.50
  4. Step 4: Simplify right side
    874,591x = 1,728,137,665,982.25
  5. Step 5: Solve for x
    x = 1,728,137,665,982.25/874,591
  6. Step 6: Final answer
    x = 1,975,938.09

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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.