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Finding the Third Proportional to 434,236 and 942,744

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Solution

The third proportional to 434,236 and 942,744 is: 2,046,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,236 : 942,744 = 942,744 : x
  2. Step 2: Convert to fraction form
    434,236/942,744 = 942,744/x
  3. Step 3: Cross multiply
    434,236x = 942,744 × 942,744
  4. Step 4: Simplify right side
    434,236x = 888,766,249,536
  5. Step 5: Solve for x
    x = 888,766,249,536/434,236
  6. Step 6: Final answer
    x = 2,046,735.53

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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.