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Finding the Third Proportional to 432,004 and 942,616

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Solution

The third proportional to 432,004 and 942,616 is: 2,056,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,004 : 942,616 = 942,616 : x
  2. Step 2: Convert to fraction form
    432,004/942,616 = 942,616/x
  3. Step 3: Cross multiply
    432,004x = 942,616 × 942,616
  4. Step 4: Simplify right side
    432,004x = 888,524,923,456
  5. Step 5: Solve for x
    x = 888,524,923,456/432,004
  6. Step 6: Final answer
    x = 2,056,751.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.