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Finding the Third Proportional to 436,349 and 934,906

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Solution

The third proportional to 436,349 and 934,906 is: 2,003,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,349 : 934,906 = 934,906 : x
  2. Step 2: Convert to fraction form
    436,349/934,906 = 934,906/x
  3. Step 3: Cross multiply
    436,349x = 934,906 × 934,906
  4. Step 4: Simplify right side
    436,349x = 874,049,228,836
  5. Step 5: Solve for x
    x = 874,049,228,836/436,349
  6. Step 6: Final answer
    x = 2,003,096.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.