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Finding the Third Proportional to 432,729 and 944,190

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Solution

The third proportional to 432,729 and 944,190 is: 2,060,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,729 : 944,190 = 944,190 : x
  2. Step 2: Convert to fraction form
    432,729/944,190 = 944,190/x
  3. Step 3: Cross multiply
    432,729x = 944,190 × 944,190
  4. Step 4: Simplify right side
    432,729x = 891,494,756,100
  5. Step 5: Solve for x
    x = 891,494,756,100/432,729
  6. Step 6: Final answer
    x = 2,060,168.73

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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.