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Finding the Third Proportional to 432,009 and 930,249

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Solution

The third proportional to 432,009 and 930,249 is: 2,003,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,009 : 930,249 = 930,249 : x
  2. Step 2: Convert to fraction form
    432,009/930,249 = 930,249/x
  3. Step 3: Cross multiply
    432,009x = 930,249 × 930,249
  4. Step 4: Simplify right side
    432,009x = 865,363,202,001
  5. Step 5: Solve for x
    x = 865,363,202,001/432,009
  6. Step 6: Final answer
    x = 2,003,113.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.