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Finding the Third Proportional to 432,054 and 942,732

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Solution

The third proportional to 432,054 and 942,732 is: 2,057,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,054 : 942,732 = 942,732 : x
  2. Step 2: Convert to fraction form
    432,054/942,732 = 942,732/x
  3. Step 3: Cross multiply
    432,054x = 942,732 × 942,732
  4. Step 4: Simplify right side
    432,054x = 888,743,623,824
  5. Step 5: Solve for x
    x = 888,743,623,824/432,054
  6. Step 6: Final answer
    x = 2,057,019.78

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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.