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Finding the Third Proportional to 436,351 and 934,910

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Solution

The third proportional to 436,351 and 934,910 is: 2,003,104.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,351 : 934,910 = 934,910 : x
  2. Step 2: Convert to fraction form
    436,351/934,910 = 934,910/x
  3. Step 3: Cross multiply
    436,351x = 934,910 × 934,910
  4. Step 4: Simplify right side
    436,351x = 874,056,708,100
  5. Step 5: Solve for x
    x = 874,056,708,100/436,351
  6. Step 6: Final answer
    x = 2,003,104.63

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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.