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Finding the Third Proportional to 434,225 and 942,722

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Solution

The third proportional to 434,225 and 942,722 is: 2,046,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,225 : 942,722 = 942,722 : x
  2. Step 2: Convert to fraction form
    434,225/942,722 = 942,722/x
  3. Step 3: Cross multiply
    434,225x = 942,722 × 942,722
  4. Step 4: Simplify right side
    434,225x = 888,724,769,284
  5. Step 5: Solve for x
    x = 888,724,769,284/434,225
  6. Step 6: Final answer
    x = 2,046,691.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.