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Finding the Third Proportional to 793,384.50 and 1,744,219.50

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Solution

The third proportional to 793,384.50 and 1,744,219.50 is: 3,834,586.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,384.50 : 1,744,219.50 = 1,744,219.50 : x
  2. Step 2: Convert to fraction form
    793,384.50/1,744,219.50 = 1,744,219.50/x
  3. Step 3: Cross multiply
    793,384.50x = 1,744,219.50 × 1,744,219.50
  4. Step 4: Simplify right side
    793,384.50x = 3,042,301,664,180.25
  5. Step 5: Solve for x
    x = 3,042,301,664,180.25/793,384.50
  6. Step 6: Final answer
    x = 3,834,586.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.