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Finding the Third Proportional to 432,731 and 944,194

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Solution

The third proportional to 432,731 and 944,194 is: 2,060,176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,731 : 944,194 = 944,194 : x
  2. Step 2: Convert to fraction form
    432,731/944,194 = 944,194/x
  3. Step 3: Cross multiply
    432,731x = 944,194 × 944,194
  4. Step 4: Simplify right side
    432,731x = 891,502,309,636
  5. Step 5: Solve for x
    x = 891,502,309,636/432,731
  6. Step 6: Final answer
    x = 2,060,176.67

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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.