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Finding the Third Proportional to 432,861 and 939,651

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Solution

The third proportional to 432,861 and 939,651 is: 2,039,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,861 : 939,651 = 939,651 : x
  2. Step 2: Convert to fraction form
    432,861/939,651 = 939,651/x
  3. Step 3: Cross multiply
    432,861x = 939,651 × 939,651
  4. Step 4: Simplify right side
    432,861x = 882,944,001,801
  5. Step 5: Solve for x
    x = 882,944,001,801/432,861
  6. Step 6: Final answer
    x = 2,039,786.45

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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.