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Finding the Third Proportional to 432,724 and 941,643

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Solution

The third proportional to 432,724 and 941,643 is: 2,049,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,724 : 941,643 = 941,643 : x
  2. Step 2: Convert to fraction form
    432,724/941,643 = 941,643/x
  3. Step 3: Cross multiply
    432,724x = 941,643 × 941,643
  4. Step 4: Simplify right side
    432,724x = 886,691,539,449
  5. Step 5: Solve for x
    x = 886,691,539,449/432,724
  6. Step 6: Final answer
    x = 2,049,092.58

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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.