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Finding the Third Proportional to 432,684 and 940,000

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Solution

The third proportional to 432,684 and 940,000 is: 2,042,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,684 : 940,000 = 940,000 : x
  2. Step 2: Convert to fraction form
    432,684/940,000 = 940,000/x
  3. Step 3: Cross multiply
    432,684x = 940,000 × 940,000
  4. Step 4: Simplify right side
    432,684x = 883,600,000,000
  5. Step 5: Solve for x
    x = 883,600,000,000/432,684
  6. Step 6: Final answer
    x = 2,042,136.99

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