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Finding the Third Proportional to 394,594 and 863,012

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Solution

The third proportional to 394,594 and 863,012 is: 1,887,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,594 : 863,012 = 863,012 : x
  2. Step 2: Convert to fraction form
    394,594/863,012 = 863,012/x
  3. Step 3: Cross multiply
    394,594x = 863,012 × 863,012
  4. Step 4: Simplify right side
    394,594x = 744,789,712,144
  5. Step 5: Solve for x
    x = 744,789,712,144/394,594
  6. Step 6: Final answer
    x = 1,887,483.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.