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Finding the Third Proportional to 432,013 and 942,634

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Solution

The third proportional to 432,013 and 942,634 is: 2,056,787.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,013 : 942,634 = 942,634 : x
  2. Step 2: Convert to fraction form
    432,013/942,634 = 942,634/x
  3. Step 3: Cross multiply
    432,013x = 942,634 × 942,634
  4. Step 4: Simplify right side
    432,013x = 888,558,857,956
  5. Step 5: Solve for x
    x = 888,558,857,956/432,013
  6. Step 6: Final answer
    x = 2,056,787.31

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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.