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Finding the Third Proportional to 623,819 and 940,166

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Solution

The third proportional to 623,819 and 940,166 is: 1,416,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,819 : 940,166 = 940,166 : x
  2. Step 2: Convert to fraction form
    623,819/940,166 = 940,166/x
  3. Step 3: Cross multiply
    623,819x = 940,166 × 940,166
  4. Step 4: Simplify right side
    623,819x = 883,912,107,556
  5. Step 5: Solve for x
    x = 883,912,107,556/623,819
  6. Step 6: Final answer
    x = 1,416,936.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.