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Finding the Third Proportional to 666,446 and 949,806

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Solution

The third proportional to 666,446 and 949,806 is: 1,353,645.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,446 : 949,806 = 949,806 : x
  2. Step 2: Convert to fraction form
    666,446/949,806 = 949,806/x
  3. Step 3: Cross multiply
    666,446x = 949,806 × 949,806
  4. Step 4: Simplify right side
    666,446x = 902,131,437,636
  5. Step 5: Solve for x
    x = 902,131,437,636/666,446
  6. Step 6: Final answer
    x = 1,353,645.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.